3/2x-5=-5/2
Computations are often easier if there are no fractions. Multiply each term by 2 to get rid of all the denominators:
2(3/2x) - 2(5) = 2(-5/2)
3x - 10 = -5
Add ten to both sides:
3x = 5
Divide both sides by 3:
x = 5/3