Answer:
x=3
Explanation:
32/24=(6x+6)/(9x-9)
simplify by 8 in the left
4/3=6(x+1)/9(x-1)
simplify by 3 in the right
4/3=2(x+1)/3(x-1)
*3 *3
4=2(x+1)/(x-1)
(x+1)/(x-1)=4/2=2
so x+1=2(x-1)=2x-2
-x -x
1=x-2
+2 +2
3=x
so x=3
verify (6*3+6)/(9*3-9)=32/24
24/18=32/24
simplify by 6 in the left
4/3=32/24
simplify by 8 in the right
4/3=4/3 TRUE