\(-5\left(x+\dfrac{1}{2}\right)-\dfrac{1}{2}\left(x-\dfrac{2}{3}\right)=\dfrac{3}{2}x-\dfrac{5}{6}\)
\(-5x-\dfrac{5}{2}-\dfrac{1}{2}x+\dfrac{1}{3}=\dfrac{3}{2}x-\dfrac{5}{6}\)
\(-\dfrac{11}{2}x\)\(-\dfrac{5}{2}\)\(=\dfrac{3}{2}x-\dfrac{5}{6}\)
\(-\dfrac{11}{2}x:\dfrac{3}{2}x=-\dfrac{5}{6}+\dfrac{5}{2}\)
\(-\dfrac{11}{3}x=\)\(\dfrac{5}{3}\)
\(x=\dfrac{5}{11}\)