Answer
$$\frac{5}{4}x -\frac{8}{3}. $$
Work Step by Step
We simplify by removing the parentheses and then combining the like terms as follows: $$ \left(\frac{1}{2 } x-\frac{2}{3}\right)-\left(2-\frac{3}{4 }x \right)= \frac{1}{2}x -\frac{2}{3}- 2+\frac{3}{4 }x \\ = \frac{5}{4}x -\frac{8}{3}. $$
