Answer
{$0$}
Work Step by Step
Step 1: $-8(3x+4)+6x=4(x-8)+4x$
Step 2: $-24x-32+6x=4x-32+4x$
Step 3: $-18x-32=8x-32$
Step 4: Adding 32 to both sides, $-18x-32+32=8x-32+32$
Step 6: $-18x=8x$
Step 7: Subtracting $8x$ from both sides, $-18x-8x=8x-8x$
Step 8: $-26x=0$
Step 9: Dividing both sides by $-26$, $x=0$
Check:
Step 1: Substituting the answer into the equation:
$-8(3(0)+4)+6(0)=4(0-8)+4(0)$
Step 2: $-8(0+4)+0=4(-8)+0$
Step 3: $-8(4)=4(-8)$
Step 4: $-32=-32$
Step 5: $0=0$
Since the result checks, the solution set of the equation is {$0$}.
