\(\frac{2}{3}\cdot x+50\%+x=\frac{1}{10}\)
\(x\cdot\left(\frac{2}{3}+50\%+1\right)=\frac{1}{10}\)
\(x\cdot\left(\frac{2}{3}+\frac{1}{2}+1\right)=\frac{1}{10}\)
\(x\cdot\left(\frac{4}{6}+\frac{3}{6}+\frac{6}{6}\right)=\frac{1}{10}\)
\(x\cdot\frac{13}{6}=\frac{1}{10}\)
\(x=\frac{1}{10}:\frac{13}{6}\)
\(x=\frac{1}{10}\cdot\frac{6}{13}\)
\(x=\frac{6}{130}=\frac{3}{65}\)