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