\(\frac{2}{3}+\left(\frac{-8}{5}-x\right)+\frac{1}{2}x=2\)
\(\frac{-8}{5}-x+\frac{1}{2}=2-\frac{2}{3}\)
\(\frac{-8}{5}-\frac{1}{2}x=\frac{4}{3}\)
\(\frac{-1}{2}x=\frac{4}{3}+\frac{8}{5}\)
\(\frac{-1}{2}x=\frac{44}{15}\)
\(x=\frac{44}{15}:\frac{-1}{2}\)
\(x=\frac{44}{15}.\left(-2\right)\)
\(x=\frac{-88}{15}\)