How do you solve question like 2 (X-3) + 4 = 10?

Answer 1

For the given eqation of 2(x + 3) + 4 = 10

Remember PEMDAS to help us get like terms on one side of the equals sign.

First, subtract 4 from both sides.

2(x - 3) = 6

Then divide by 2 on both sides.

x - 3 = 6/2

x - 3 = 3

Now, add three to both sides to isolate the x.

x - 3 + 3 = 3 + 3

x = 6

We can also do forward PEMDAS

2(x - 3) + 4 = 10

2x - 6 + 4 = 10

2x - 2 = 10

2x - 2 + 2 = 10 + 2

2x = 12

2x / 2 = 12 / 2

x = 6

To prove this, substitute 6 for x in the original equation and solve

2(x - 3) + 4 = 10

2(6 - 3) + 4 = 10

2(3) + 4 = 10

6 + 4 = 10

10 = 10

Answer 2

You can solve equations like 2(x - 3) + 4 = 10 by following these steps:

Step 1: Distribute

Multiply the number outside the parentheses (2) by each term inside:

2(x - 3) + 4 = 10

becomes

2x - 6 + 4 = 10

Step 2: Combine Like Terms

Combine -6 and +4:

2x - 2 = 10

Step 3: Solve for x

Add 2 to both sides:

2x - 2 + 2 = 10 + 2

2x = 12

Divide both sides by 2:

x = 6

Final Answer:

x = 6

Hope this helps!

Answer 3

2(x - 3) + 4 = 10

-4 -4 Subtract 4

2(x - 3) = 6 Divide by 2

÷2 ÷2

x - 3 = 3 Add 3

+3 +3

x = 6

Answer 4

2(x-3) +4 = 10

2x -6 = 10-4 = 6

2x = 6+6=12

x = 12/2 = 6

or divide by 2 right at the start

x-3 +2 = 5

x-3 = 5-2=3

x =3+3 =6

Answer 5

There are two sides to this problem, 2 (X-3) + 4, and an equals sign separating 10 from the problem. To solve this problem PEMDAS is key.

1. P (parenthesis) tells us to deal with that first. Since there is nothing that can be done inside the parenthesis (X-3), to rid of the parenthesis we need to multiply the 2 to the X and 3, also known as distributing. ⇒ 2X-6
2. So now there is 2X - 6 + 4. Next, you combine like terms. The like terms are the single digits numbers without variables. In this case, - 6 and + 4. ⇒ -2
3. Now we have 2X -2 = 10. The like terms in this scenario requires the - 2 to go to the side where 10 is. To balance the sides + 2 needs to be added to both sides. ⇒ 2X=12
4. Finally, 2 and X together, even without the sign, means they are being multiplied. To rid of the 2 from X both sides need to be divided (the opposite of multiplication) from both sides. ⇒ X = 6

Answer 6

2 (X-3) + 4 = 10

You can start by subtracting 4 from both sides and you'll get: 2 (X-3) = 6

Next, divide both sides by 2: (x-3) = 3

Add 3 to both sides: x = 6

Answer 7

2(x - 3) + 4 = 10

Subtract 4 from both sides: 2(x - 3) = 6

Distribute: 2x - 6 = 6

Add 6 to both sides: 2x = 12

Divide both sides by 2: x = 6