Solve the equation

q+7/4+q-3/3=5/2

I think there is no solution

If that is (q+7)/4 + (q-3)/3 = 5/2, there is of course a solution.

q/4 + 7/4 + q/3 - 1 = 5/2
7q/12 + 3/4 = 5/2
7q/12 = 7/4
q = 7/4 * 12/7 = 3

10/4 + 0/3 = 5/2 true

If the equation is not what I inferred, then please correct with needed parentheses and enlighten us.