Answer:
[tex]x = 1[/tex]
step By Step Explanations:
1) Remove parentheses.
[tex]13 - 2x - 2 = 2(x + 2) + 3x[/tex]
2) Simplify 13 - 2x - 2 to -2x + 11.
[tex] - 2x + 11 = 2(x + 2) + 3x[/tex]
3) Expand.
[tex] - 2x + 11 = 2x + 4 + 3x[/tex]
4) Simplify 2x + 4 + 3x to 5x + 4.
[tex] - 2x + 11 = 5x + 4[/tex]
5) Add 2x to both sides.
[tex]11 = 5x + 4 + 2x[/tex]
6) Simplify 5x + 4 + 2x to 7x + 4.
[tex]11 = 7x + 4[/tex]
7) Subtract 4 from both sides.
[tex]11 - 4 = 7x[/tex]
8) Simplify 11 - 4 to 7.
[tex]7 = 7x[/tex]
9) Divide both sides by 7.
[tex]1 = x[/tex]
10) Switch sides.
[tex]x = 1[/tex]
Therefor, the answer is x = 1.
