To solve this equation, we will first combine like terms on both sides of the equation and then isolate the variable x.

Given equation:
5 - 9x/8 - 3 + 5x/4 = 5 - 3x/2

Combine like terms:

Rewrite the equation with a common denominator:
(-3*8 - 9x + 10x) / 8 = -3x / 2

Simplify the equation:
(-24 + x) / 8 = -3x / 2

Cross multiply to clear the fractions:
2(-24 + x) = 8(-3x)
-48 + 2x = -24x
2x + 24x = 48
26x = 48
x = 48 / 26
x = 24 / 13

Therefore, the solution to the equation is x = 24 / 13.