I believe the answer might be:
x = 28/19
Steps:
Expand
3(5 - x)/2 - 4(3 + 2x)/5
-3x + 15 - 8x + 12
------------ -----------
2 5
Find the LCD for the equation above:
(15-3x) * 5 - (12+8x) * 2
------------- --------------
10 10
Now we combine them since the denominators are equal:
5(-3+15) - 2(8x+12)
--------------------------
10
We expand above:
-31x+51
-----------
10