\(\dfrac{3}{4}x-\dfrac{5}{2}=\dfrac{4}{3}\)

\(\dfrac{3}{4}x=\dfrac{4}{3}+\dfrac{5}{2}\)

\(\dfrac{3}{4}x=\dfrac{8}{6}+\dfrac{15}{6}\)

\(\dfrac{3}{4}x=\dfrac{23}{6}\)

\(x=\dfrac{23}{6}:\dfrac{3}{4}\)

\(x=\dfrac{23}{6}.\dfrac{4}{3}\)

\(x=\dfrac{46}{9}\)

\(-\dfrac{3}{2}\left(\dfrac{4}{5}-\dfrac{2}{3}\right)+x=4\left(x-\dfrac{1}{2}\right) \\\)
\(-\dfrac{6}{5}+1+x=4x-2\\\)
\(-\dfrac{1}{5}+x=4x-2\)
\(-\dfrac{1}{5}+2=4x-x\)
\(\dfrac{9}{5}=3x\)
\(\dfrac{9}{5}:3=x\)
\(\Rightarrow x=\dfrac{3}{5}\)