\(x\cdot\frac{2}{5}+x\cdot\frac{1}{3}=\frac{2}{3}\)
\(x\left(\frac{2}{5}+\frac{1}{3}\right)=\frac{2}{3}\)
\(x\cdot\frac{11}{15}=\frac{2}{3}\)
\(x=\frac{10}{11}\)
\(x\frac{2}{5}+x\div3=\frac{2}{3}\)
\(x\times\frac{2}{5}+x\times\frac{1}{3}=\frac{2}{3}\)
\(x\left(\frac{2}{5}+\frac{1}{3}\right)=\frac{2}{3}\)
\(x\frac{11}{15}=\frac{2}{3}\)
\(x=\frac{2}{3}\div\frac{11}{15}=\frac{10}{11}\)