3/4(2x-2)>15?

multiply b.s by 4/3 to arrive at
(2x-2)>20
then add 2 to b.s to arrive at
2x>22
solve for x

answer x > 11

3/4(2x - 2) > 15
2x - 2 > 20
x - 1 > 10
x > 11

Answer: x > 11

(3/4)(2x - 2) > 15
3(2x - 2)/4 > 15
4[(6x - 6)/4] > 4(15)
6x - 6 > 60
6x > 60 + 6
6x > 66
x > 66/6
x > 11

Assuming you mean :-
(3/4) (2x - 2) > 15 and not as written.
6x - 6 > 60
6x > 66
x > 11
{ x : x > 11 , x Є R }

PS
Remember to use brackets to avoid confusion !

3/4*2x=1.5x
3.4*-2=-1.5
1.5x-1.5>15
+1.5 +1.5
1.5x>16.5
________
1.5

x >11

1. distribute 3/4 over the parenthesis.
2. you have 6/4x-6/4>15
4. add 6/4 to each side
5. you have 6/4x>66/4
6. divide 6/4 on both sides and...
7. you're left with x>264/24 which is x>11

(3/4)(2x - 2) > 15
(3/4)(2(x - 1)) > 15
(6/4)(x - 1) > 15
(3/2)(x - 1) > 15
3(x - 1) > 30
x - 1 > 10
x > 11

3/4x -3/2 > 15
3/2x > 15 & 3/2
x > 15