Answer
$x=-1$
Work Step by Step
Step 1: $4(-2x+1)=6-(2x-4)$
Step 2: $-8x+4=6-2x+4$
Step 3: $-8x+4=-2x+10$
Step 4: Subtracting $4$ from both sides, $-8x+4-4=-2x+10-4$
Step 5: $-8x=-2x+6$
Step 6: Adding $2x$ to both sides, $-8x+2x=-2x+6+2x$
Step 7: $-6x=6$
Step 8: Dividing each side by $-6$, $\frac{-6x}{-6}=\frac{6}{-6}$
Step 9: As a result, $x=-1$
