Answer
$x=-7$
Work Step by Step
Distribute $4$ to obtain:
$2-(x-7)=8-4(x)-4(5)
\\2-(x-7)=8-4x-20
\\2-(x-7)=-4x-12$
$2-x-(-7)=-4x-12
\\2-x+7=-4x-12
\\9-x=-4x-12$
Add $4x$ to both sides to obtain:
$9-x+4x=-4x-12+4x
\\9+3x=-12$
Subtract $9$ to both sides of the equation to obtain:
$9+3x-9=-12-9
\\3x=-21$
Divide $3$ to both sides of the equation:
$\dfrac{3x}{3}=\dfrac{-21}{3}
\\x=-7$
