solve the equation
4x+5/4 - 9+2x/3=0
First combine x-terms and constants separately.
You need to clarify if you mean
(4x+5)/4 -(9+2x)/3 = 0 or some other order of operation. When parentheses are omitted, different interpreations are possible.
If that is what you mean, then
12 x + 15 = 8x + 36
4x = 21
x = 5 1/4