Multiply both sides of the equation by 6
x/2*6-4*6=x/3*6
3x-24=2x
This effectively got rid of all the fractions.
Now combine liked terms.
3x-2x-24+24=2x-2x+24 I subtracted 2x from both sides and added 24 on both sides.
x=24
We can check our answers
24/2-4=8
and 24/3=8 so my answer is correct
x=24
