To solve the equation (2/3)-(1/3)(x - (3/2))-(1/2)(2x+1)=5, we can follow these steps:

1. Distribute the (1/3) and (1/2) to the terms inside the parentheses:
(2/3) - (1/3)(x) + (1/3)(3/2) - (1/2)(2x) - (1/2)(1) = 5

2. Simplify the fractions:
(2/3) - (1/3)x + (1/2) - x - (1/2) = 5

3. Combine like terms:
(2/3) - (1/2) - (1/3)x - x = 5

4. Find a common denominator for the fractions:
(4/6) - (3/6) - (2/6)x - (6/6)x = 5

5. Combine the fractions:
(1/6) - (8/6)x = 5

6. Move the constant term to the other side of the equation:
(1/6) = 5 + (8/6)x

7. Simplify the right side:
(1/6) = (30/6) + (8/6)x

8. Combine the fractions on the right side:
(1/6) = (38/6) + (8/6)x

9. Move the constant term to the other side of the equation:
(1/6) - (38/6) = (8/6)x

10. Simplify the left side:
- (37/6) = (8/6)x

11. Divide both sides by (8/6):
(-37/6) / (8/6) = x

12. Simplify the division:
-37/8 = x

Therefore, the solution to the equation is x = -37/8.