Simplify this expression: $$\left(2x+\frac{3}{2} (4x-6)\right)-4\left( -(2-x)+\frac{x}{2}\right)$$
Begin by distributing in the innermost parentheses: \begin{align*}
\left(2x+\frac{3}{2} (4x-6)\right)-&4\left( -(2-x)+\frac{x}{2}\right)\\
&=(2x+6x-9)-4\left(-2+x+\frac{x}{2}\right)\\
&=(8x-9)-4\left (-2+\frac{3x}{2}\right)
\end{align*} Now, distribute again, and combine like terms: \begin{align*}
(8x-9)-4\left (-2+\frac{3x}{2}\right)&=8x-9+8-6x\\
&=\boxed{2x-1}
\end{align*}