Answer
x=-3
Work Step by Step
2(x-4)+3(x+5)=2x-2
2x-2(4)+3x+3(5)=2x-2
2x-8+3x+15=2x-2
(2x+3x)+(-8+15)=2x-2
5x+7=2x-2
5x=2x-2-7
5x=2x-9
5x-2x=-9
3x=-9
x=$\frac{-9}{3}$
x=-3
Check the answer.
2(-3-4)+3(-3+5)=2(-3)-2
2(-7)+3(2)=-6-2
-14+6=-8
-8=-8