Solve for x:(x-5)/3-3/2=(4x+7)/6?

(x-5)/ 3 - 3/2= (4x+7) / 6 , cancel by 6

2x - 10 - 9 = 4x + 7

-26 = 2x

-26/2 = x

-13 = x

x = -13

2x - 10 - 9 = 4x + 7
- 26 = 2x
x = - 13

(x - 5)/3 - 3/2 = (4x + 7)/6
6[(x - 5)/3 - 3/2] = 6(4x + 7)/6
2(x - 5) - 3(3) = 4x + 7
2*x - 2*5 - 9 = 4x + 7
2x - 10 - 9 = 4x + 7
2x - 4x = 19 + 7
-2x = 26
x = 26/-2
x = -13