#### Answer

$x=-1$

#### Work Step by Step

Distribute $4$ to obtain:
$4(-2x)+4(1)=6-(2x-4)
\\-8x+4=6-(2x-4)$
Subtract each term of the binomial to obtain:
$-8x+4=6-2x-(-4)
\\-8x+4=6-2x+4
\\-8x+4=-2x+10$
Add $8x$ and subtract $10$ to both sides, then combine like terms to obtain:
$-8x+4+8x-10=-2x+10+8x-10
\\-6=6x$
Divide $6$ to both sides:
$\dfrac{-6}{6} = \dfrac{6x}{6}
\\-1=x$