Your answer is x=12
4x-24=24+8x
We move all terms to the left:
4x-24-(24+8x)=0
We add all the numbers together, and all the variables
4x-(8x+24)-24=0
We get rid of parentheses
4x-8x-24-24=0
We add all the numbers together, and all the variables
-4x-48=0
We move all terms containing x to the left, all other terms to the right
-4x=48
x=48/-4
x=-12