About the answer

Question

3(x+1)=5(x−2)+7

Answer 1

Hi there,

You can also substitute your answer back into the original equation to check your solution.

For x=3:

3(x+1) = 5(x-2) + 7

3(3+1) = 5(3-2) + 7

3(4) = 5(1) + 7

12=5 +7

Therefore, 3 is indeed the correct solution.

Take care,

Irene

Answer 2

3(x+1)=5(x−2)+7

First, know the distributive property:

a(b+c) = a*b + a*c

a(b-c) = a*b - a*c

Let's use the distributive property to solve your problem

3(x+1) = 5(x-2) + 7

3x + 3 = 5x - 10 + 7

Remove 3 from both sides

3x = 5x-6

Remove 5x from both sides

-2x = -6

Divide both sides by -2

x=3

Answer 3

3(x+1) = 5(x-2) + 7

Remember, to solve for x, we have to get x by itself.

Step 1: Distribute

We can distribute the 3 to x and -1 on the left side so it becomes:

3x + 3 = 5(x-2) + 7

We can also distribute the 5 to x and -2 on the right side so it becomes:

3x + 3 = 5x - 10 + 7

Step 2: Simplify

We an now simplify by combining like terms which are -10 and 7 on the right side:

3x + 3 = 5x - 3

Step 3: Move variables to one side and constants to the other

Let’s move all variables to the left by subtracting 5x on both sides:

3x - 5x + 3 = -3

We can also move the constant on the left side by subtracting 3 to the right side:

3x - 5x = -3 - 3

This simplifies to:

-2x = -6

Step 4: Solve for x

We can divide by -2 on both sides to get x by itself which basically solves for x so we end up with:

x = 3

So, our final answer is x = 3