How do you solve an equation like 2(x – 3) = x + 4?

Answer 1

To solve the equation, start by distributing the 2 on the left-hand side:

2(x − 3) = x + 4

2x − 6 = x + 4

Next, subtract x from both sides:

x − 6 = 4

Finally, add 6 to each side:

x = 10 (ANSWER)

Answer 2

Just move the variables to one side and the constants to the other.

2(x -3) = x+ 4 ⇒

2x - 6 = x+ 4 ⇒

2x - x = 4 + 6 ⇒

x = 10 ⇒

X = 10

"Remember: the key to solving the equation above is that whenever you move a term (number or x) across the equals sign, its sign changes."

Answer 3

Here's who to solve the equation:

2(x − 3) = x + 4

Step 1: Apply the Distributive Property

Multiply 2 by each term inside the parentheses.

2x − 6 = x + 4

Step 2: Combine Like Terms / Isolate the Variable Terms

Subtract x from both sides to bring all variable terms to one side of the equation.

2x − x − 6 = 4

Step 3: Simplify the Expression

Combine like terms.

x − 6 = 4

Step 4: Isolate the Variable

Add 6 to both sides of the equation.

x = 10

Step 5: Verify the Solution (Substitution Check)

Substitute x = 10 back into the original equation.

2(10 − 3) = 10 + 4

2(7) = 14

14 = 14

Since both sides are equal, the solution is verified.

Solution: x = 10

Answer 4

Simple; apply the distributive property to simplify what's on the left-hand side of the equal sign (as we always want to try & get rid of parenthesis), and then, follow the rules of PEMDAS until x is isolated:

Our starting equation: 2(x - 3) = x + 4

After applying distributive property: 2x - 6 = x + 4

After subtracting x from both sides: x - 6 = 4

After adding 6 to both sides: x = 10

:)

Answer 5

Step 1: Distribute

Multiply the 2 by everything inside the parentheses:

2 · x = 2x

2 · (–3) = –6

So the equation becomes: 2x – 6 = x + 4

Step 2: Get variables on one side

We can move the x from the right to the left so that it combines with the other x term. We can do this by using opposite operations. Since the x is positive, we will subtract it. Remember whatever you do on one side you will do to the other.

2x – 6 = x + 4

-x -x

This simplifies to:

x – 6 = 4

Step 3: Solve for x.

We need to isolate the x and we can do this by using opposite operations again. Since the 6 is negative, we can add 6 to both sides:

x – 6 = 4

+6 +6

So:

x = 10

Check your answer:

Plug 10 back in for x and simplify each side separately.

Left side: 2(10 – 3) = 2(7) = 14

Right side: 10 + 4 = 14

Both sides match!

Final Answer: x = 10

Answer 6

Step 1) Distribute and combine like terms:

2 can be distributed out

2(x - 3) --> 2x - 6

2x - 6 = x + 4

Step 2) Get X onto one side

Subtract x from both sides

2x - 6 = x + 4

-x -x

x - 6 = 4

Step 3) Remove any other terms

Add 6 on both sides

x - 6 = 4

+6 +6

x=10

Answer 7

We want to get all of the X's on one side

First, remove the parentheses and distribute through the parentheses

2x - 6 = x + 4

Then move the X's to one side of the equation.

I'm going to move the variable to the left-hand side and change its sign

2x - 6 - x = 4

Then collect the like terms

2x - x = 4 + 6

Then simplify

x = 4 + 6

Therfore,

x = 10

Answer 8

How do you solve an equation like 2(x – 3) = x + 4?

The most important rule about solving equations involving a variable is to isolate the variable on one side of the equal sign "=".

2(x-3) = x + 4

Let's say you want the x to be on the left side of the equation....

Since you have 1x (+x), you would need to subtract x from the right side of the equation. However to keep the equation balanced, whatever operation you do to one side of the equal sign, you must do to the other side.

2(x-3) = x +4

-x -x

And therefore you would have the following equation.

2(x-3) - x = 4

Now you need to apply the order of operations rule (PEMDAS / BEDMAS), and factor out what is in the brackets.

2(x-3) - x = 4. --> 2x - 6 - x = 4

Now you need to combine like-terms on the left side of the equation.

2x - 6 - x = 4. ------------>. x - 6 = 4.

Now you have x - 6 = 4. You want all the numbers on the same side of the equal sign, but want "x" isolated. so you would need to add 6 to the left side of the equation. Whatever you do to one side, you must do to the other.

x - 6 = 4

+6 +6

x = 10

Your final answer is x = 10.

I hope this helps.

Answer 9

Great question! Understanding how to solve this equation will help you advance to solving more and more complex equations and advancing in mathematics. Let's have a quick look at what we're doing here.

First, ask yourself: What does the equation ask you to solve for? In this case, we want to know the value of x.

Next, let's look at the strategy for finding the value of x. We want to get the x values on one side of the equation (on one side of the equals sign) and the digits on the other.

1. Step one: Perform the multiplication on the left side of the equation.
2. 2(x-3) = x + 4 → 2x - 6 = x + 4
3. Step two: Get the x values on one side of the equation. The most logical way to do this? Subtract x from the right side of the equation and the left side. This works because it removes the x from the right side and leaves x on the left side.
4. 2x - 6 = x + 4

-x. -x

x - 6 = 0 + 4

x - 6 = 4

1. Step three: Add 6 to both sides of the equation. This will remove the 6 from the left side and put all the digits on the right.
2. x - 6 = 4

+6. +6

x + 0 = 10

x = 10

1. Step four: Check your work. We now have an answer, x = 10, but it's important to make sure that the answer is correct. To check your work, substitute t
2. 2(x-3) = x + 4 → 2 (10-3) = 10 + 4

→ 2 (7) = 14

→ 14 = 14 ✓

Now that you understand what the question is asking and how to solve the equation, try applying this method to other, similar equations. Congratulations, and good luck!

Answer 10

Solving Linear Equations

Example : 2(x – 3) = x + 4

This is called a linear equation, to solve a linear equation we'll follow these steps!

1. Following PEMDAS we'll start by distributing, the 2 to both values in the parenthesis.

2(x – 3) : First 2 • X = 2x : Second 2•3 = 6 : after distribution the equation looks like this :

2x – 6 = x + 4

1. Now we have to Isolate the variable (x).

2x – 6 = x + 4 : We're going to add six to each side.

2x – 6 = x + 4

+ 6 + 6

This cancels out the six on the left side of the equation and brings us to : 2x = x + 10

1. Now we have to continue to isolate the variable. To do so we will subtract x from each side.

2x = x + 10

– x – x

This brings us to

x = 10

1. Check our work: To do this we will plug the value of x (10) into the original equation.

2 • 10 = 10 + 10

20 = 20 : This statement is true, so the answer (10) is correct

All together :

2(x – 3) = x + 4

2 • x – 3 • 2 = x + 4

2x - 6 = x + 4 = 2x = x + 10

+ 6 + 6

2x = x + 10

–x –x

x = 10

Thanks for posting the question, I'm glad to help!

Answer 11

Left side Right side

2(x – 3) x + 4

| |

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[ weight ] ================== [ weight ]

(same weight on both sides)

Step 1: Expand (remove parentheses)

2(x – 3) = 2 * x and 2 * -3 = 2x – 6

2x – 6 = x + 4

Step 2: Move x’s to one side

Subtract x from both sides:

2x – 6 – x = x + 4 – x

x – 6 = 4

Step 3: Get x alone

Add 6 to both sides:

x – 6 + 6 = 4 + 6

Answer will be:

x = 10

Answer 12

Given equation: 2(x – 3) = x + 4

Step 1: Distribute the 2 Multiply 2 by everything inside the parentheses:

1. 2(x – 3) = 2x – 6

So now the equation is: 2x – 6 = x + 4

Step 2: Get all x terms on one side Subtract x from both sides:

1. 2x – x – 6 = x – x + 4
2. x – 6 = 4

Step 3: Isolate x Add 6 to both sides:

1. x – 6 + 6 = 4 + 6
2. x = 10

Step 4: Check your answer Plug x = 10 back into the original equation:

1. Left side: 2(10 – 3) = 2(7) = 14
2. Right side: 10 + 4 = 14 ✓ (Hence proved)

Answer: x = 10

Answer 13

In order to solve an equation like 2(x - 3) = x + 4, we can start by simplifying the left side by using the distribution property to multiply 2 by x and by -3 so it becomes:

2x - 6 = x + 4

We can combine like terms. If you notice, 2x and x are like terms since they both have x raised to the power of 1 and -6 and 4 are like terms since they are constant numbers. To combine them, we need to move them on to one side. So, let combine the x's by subtracting x on both sides so it becomes:

2x - x - 6 = 4

x - 6 = 4

Remember, our purpose is to solve for x and in order to solve for x, we have to isolate x on one side. So, to isolate x, we can now add 6 on both sides which will give us:

x = 4 + 6

x = 10

So, our final answer is x = 10.

Answer 14

2 (x - 3) = x + 4

1. Whenever we have just parentheses, we multiply and distribute what is on the outside to the inside:
2. 2 (x - 3) = 2x - 6
3. Now we have the new equation 2x - 6 = x + 4. We can now proceed to solve this.
4. 2x - 6 = x + 4
5. Add six to both sides
6. 2x = x + 10
7. Subtract x from both sides
8. x = 10
9. Plug back in to verify
10. 2x - 6 = x + 4
11. 2(10) - 6 = (10) + 4
12. 20 - 6 = 10 + 4
13. 14 = 14
14. 14 = 14

Final Answer: x = 10

Answer 15

I'll walk you through solving this step by step.

Given equation: 2(x – 3) = x + 4

Step 1: Distribute the 2 Multiply 2 by everything inside the parentheses:

1. 2(x – 3) = 2x – 6

So now the equation is: 2x – 6 = x + 4

Step 2: Get all x terms on one side Subtract x from both sides:

1. 2x – x – 6 = x – x + 4
2. x – 6 = 4

Step 3: Isolate x Add 6 to both sides:

1. x – 6 + 6 = 4 + 6
2. x = 10

Step 4: Check your answer Plug x = 10 back into the original equation:

1. Left side: 2(10 – 3) = 2(7) = 14
2. Right side: 10 + 4 = 14 ✓

Answer: x = 10

The key steps for equations like this are: distribute any parentheses, collect like terms on each side, get all variables on one side and constants on the other, then isolate the variable.

Answer 16

To solve this equation, we can start by distributing the 2 on the left hand side. This means we are going to multiply each term inside the parentheses separated by addition or subtraction by 2.

2 ( x - 3) = x +4

2x - 6 = x +4

Now we want to combine like terms. We can do this by subtracting the x over to the left side of the equation and adding the 6 over to the right side of the equation.

2x - 6 - x = 4

x - 6 = 4

x = 4 + 6

x =10

We're done when we have x on one side of the equal sign by itself, so our final answer is x =10.

Answer 17

Problem:

Solve 2(x-3) = x+4

Expand the parentheses:

2(x-3) = 2x-6

So the equation becomes:

2x-6 = x+4

Get all x-terms on one side:

Subtract x from both sides

2x-x-6 = 4

x-6 = 4

Solve for x

Add 6 to both sides

x = 4+6

x = 10

Check your answer

Plug back into the original equation

2(10-3) = 10+4

2(7) = 14

14 = 14

Final answer:

x = 10

Answer 18

2(x-3) = x +4

expand left side, distribute the 2 amongst the x and -3 to get

2x-3(2) = 2x -6 = x+4

add 6 -x to both sides to get

x = 4+6

x =-10

check the answers

2(10-3) = 2(10)-6

2(7) = 20-6

14 = 14 It works

Answer 19

There are technically two ways to solve.

Forward:

2(x - 3) = x + 4 Simplify

2x - 6 = x + 4 Get like terms on opposite sides of the equal sign

2x - 6 + 6 - x = x + 4 - x + 6 Positve and negatives cancel out

2x - x = 4 + 6 Simplify

x = 10

Backward:

2(x - 3) = x + 4 Divide both sides by 2

2(x - 3) /2 = (x + 4) /2

(x - 3) = x /2 + 4 / 2 Simplify

x - 3 = 1/2x + 2 Get like terms on opposite sides of the equal sign

x - 3 + 3 - 1/2x = 1/2x + 2 -1/2x + 3 Simplify

x - 1/2x = 2 + 3 Simplify

1/2x = 5 Multiply both sides by 2

2 * 1/2x = 5 * 2 Simplify

x = 10

Both methods will get you to the same answer, but one may be faster and easier than the other, depending on the equation itself.

One method does the Order of Operations forwards, the other goes backwards. One may be preferred over the other, depending on which way you like best or which way is best suited for the equation.

Answer 20

2(x – 3) = x + 4

To solve this equation we need to first do the distributive property to get rid of the parentheses.

2(x - 3) --> 2 *x = 2x and 2 * 3 = 6 so 2(x-3) = 2x - 6

Our equation is now 2x - 6 = x + 4

Now we need to get the x terms on one side of the equal sign and constants (terms without variables) on the other side. To do this, I can I will subtract the x from both sides so it is no longer on the right side. 2x - x = x and x - x = 0

Our equation is now x - 6 = 4

The last step is to "move" the -6 to the other side so I am going to add 6 to both sides. I am adding because the operation in the equation is subtraction so I need to perform the opposite (inverse) operation to cancel it out. -6 + 6= 0 and 4 + 6=10

Final Answer: x = 10

Answer 21

Hello, thank you for taking the time to post your question!

In order to solve an equation like this you want to follow the order of operations and combine like terms! So in this case that would mean distributing the 2 to begin with, then getting the x terms on one side:

2(x - 3) = x + 4

2x – 6 = x + 4

x = 10

I hope that helps get you moving in the right direction! Feel free to reach out if you still have questions beyond that :)

Answer 22

Hi!

To solve this equation, you essentially want to:

1) distribute the 2 on the left hand side of the equation.

2(x-3) -> 2x-6

2) isolate one of the variables, moving it to the right hand side.

2x-6 = x+4 -> 2x= x+4+6 -> 2x= x +10

3) isolate the x's on the left hand side

2x = x+10 -> 2x-x = 10 -> x=10

Thus, your answer is x=10.

Answer 23

Key to finding the solution is that you must isolate x to the left side of the equation (the traditional approach). Doing this can generally be done in multiple ways. One way is not necessarily better than another way. Having this understanding keeps yo focussed on what the steps might be for any given problem.

Answer 24

An alternate way to solve this equation is to start by diving both sides by 2:

1) Equation: 2(x-3) = x+4

2) Divide both sides by 2: x-3 = 1/2x +2

3) Subtract 1/2x from both sides: 1/2x - 3 = 2

4) Add 3 to both sides: 1/2x = 5

5) Multiply both sides by 2: x = 10

6) SOLUTION: x = 10