Answer
$-3$
Work Step by Step
Distribute $2$ and $3$ to obtain:
$2x-8+3x+15=2x-2
\\5x+7=2x-2$
Subtract $2x$ on both sides of the equation to obtain:
$3x+7=-2$
Subtract $7$ on both sides of the equation to obtain:
$3x = -9$
Divide by 3 on both sides of the equation to obtain:
$x=\frac{-9}{3}
\\x=-3$
Check:
$2(-3-4)+3(-3+5)=2(-3)-2
\\2(-7) + 3(2)=-6-2
\\-14+6=-8
\\-8=-8$