Question

Solve the following equations for x

13−(2x+2)=2(x+2)+3x

Answer 1

`x = 1`

step By Step Explanations:

1) Remove parentheses.

`13 - 2x - 2 = 2(x + 2) + 3x`

2) Simplify 13 - 2x - 2 to -2x + 11.

`- 2x + 11 = 2(x + 2) + 3x`

3) Expand.

`- 2x + 11 = 2x + 4 + 3x`

4) Simplify 2x + 4 + 3x to 5x + 4.

`- 2x + 11 = 5x + 4`

5) Add 2x to both sides.

`11 = 5x + 4 + 2x`

6) Simplify 5x + 4 + 2x to 7x + 4.

`11 = 7x + 4`

7) Subtract 4 from both sides.

`11 - 4 = 7x`

8) Simplify 11 - 4 to 7.

`7 = 7x`

9) Divide both sides by 7.

`1 = x`

10) Switch sides.

`x = 1`

Therefor, the answer is x = 1.

Answer 2

x = 1

Explanation: