\(\dfrac{x}{2}-\left(\dfrac{3x}{5}-\dfrac{13}{15}\right)=\dfrac{7}{5}+\dfrac{7}{10}x\\ \dfrac{1}{2}x-\dfrac{3}{5}x+\dfrac{13}{15}=\dfrac{7}{5}+\dfrac{7}{10}x\\ \dfrac{5-6}{10}x-\dfrac{7}{10}x=\dfrac{7}{5}-\dfrac{13}{15}\\ \dfrac{-1-7}{10}x=\dfrac{7.3-13}{15}\\ \dfrac{-8}{10}x=\dfrac{8}{15}\\ x=\dfrac{8}{15}:\left(-\dfrac{8}{10}\right)\\ x=-\dfrac{2}{3}\)