Question 53704
(4/5) x - (2/3) = 3x + (1/2)
Multiply thru by 30 to get:
24x - 20 = 90x +15
66x=-35
x=-35/66
This answer checks out.
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Comment: 
It may be that your original problem
is really the following:
(4/5)x-(2/3) = (3x+1)/2
If you are given an answer for your problem
and it is not -35/66 you might try solving
this alternate form of your problem.
Cheers,
Stan H.