\(\dfrac{3}{5}x+\dfrac{1}{2}x=\dfrac{11}{15}\)
\(\Leftrightarrow\)\(\dfrac{11}{10}x=\dfrac{11}{15}\)
\(\Leftrightarrow\)\(x=\dfrac{2}{3}\)
\(x\times\dfrac{3}{5}+x\times\dfrac{1}{2}=\dfrac{11}{15}\)
\(x\times\left(\dfrac{3}{5}+\dfrac{1}{2}\right)=\dfrac{11}{15}\)
\(x\times\dfrac{11}{10}=\dfrac{11}{15}\)
\(x=\dfrac{11}{15}\div\dfrac{11}{10}\)
\(x=\dfrac{2}{3}\)