\(\dfrac{1}{2}.x+\dfrac{3}{5}.x=-\dfrac{2}{3}\\ =>x.\left(\dfrac{1}{2}+\dfrac{3}{5}\right)=-\dfrac{2}{3}\\ =>x.\left(\dfrac{5+3.2}{10}\right)=-\dfrac{2}{3}\\ =>\dfrac{11}{10}x=-\dfrac{2}{3}\\ =>x=\left(-\dfrac{2}{3}\right):\dfrac{11}{10}\\ =>x=-\dfrac{20}{33}\)