\(2\frac{2}{3}x+1\frac{1}{3}x=\frac{2}{3}\)
\(\Rightarrow\) \(\frac{8}{3}x+\frac{4}{3}x=\frac{2}{3}\)
\(\Rightarrow\) \(\left(\frac{8}{3}+\frac{4}{3}\right)x=\frac{2}{3}\)
\(\Rightarrow\) \(4x=\frac{2}{3}\)
\(\Rightarrow\)\(x=\frac{2}{3}:4\)
\(\Rightarrow x=\frac{1}{6}\)