\(\frac{1}{3}+x\times\frac{5}{6}-\frac{1}{6}=\frac{2}{3}\)
\(\Rightarrow x\times\frac{5}{6}-\frac{1}{6}=\frac{2}{3}-\frac{1}{3}=\frac{1}{3}\)
\(\Rightarrow x\times\frac{5}{6}=\frac{2}{6}+\frac{1}{6}=\frac{1}{2}\)
\(\Rightarrow x=\frac{1}{2}\times\frac{6}{5}=\frac{3}{5}\)
\(\frac{1}{3}+\frac{x\times5}{6}-\frac{1}{6}=\frac{2}{3}\)
\(\Rightarrow\frac{x\times5}{6}=\frac{2}{3}-\frac{1}{3}-\frac{1}{6}\)
\(\Rightarrow\frac{x\times5}{6}=\frac{1}{3}-\frac{1}{6}=\frac{1}{6}\)
\(\Rightarrow\frac{x\times5}{6}=\frac{1}{6}\)
\(\Rightarrow x\times5=1\)
\(\Rightarrow x=\frac{1}{5}\)
\(\frac{1}{3}+\frac{x\times5}{6}-\frac{1}{6}=\frac{2}{3}\)
\(\Rightarrow\frac{x\times5}{6}=\frac{2}{3}-\frac{1}{3}+\frac{1}{6}\)
\(\Rightarrow\frac{x\times5}{6}=\frac{1}{2}=\frac{3}{6}\)
\(\Rightarrow x\times5=3\)
\(\Rightarrow x=\frac{3}{5}\)
\(\frac{1}{3}\) +\(x\) \(\times\) \(\frac{5}{6}-\frac{1}{6}\) =\(\frac{2}{3}\)
\(\frac{1}{3}+x\times\frac{5}{6}\)=\(\frac{2}{3}+\frac{1}{6}\)
\(\frac{1}{3}+x\times\frac{5}{6}\) =\(\frac{5}{6}\)
\(\frac{1}{3}+x=\frac{5}{6}\div\frac{5}{6}\)
\(\frac{1}{3}+x=1\)
\(x=1-\frac{1}{3}\)
\(x=\)\(\frac{2}{3}\)
\(\frac{1}{3}+x\cdot\frac{5}{6}-\frac{1}{6}=\frac{2}{3}\)
\(\frac{1}{3}+x\cdot\frac{5}{6}=\frac{2}{3}+\frac{1}{6}\)
\(\frac{1}{3}+x\cdot\frac{5}{6}=\frac{5}{6}\)
\(x\cdot\frac{5}{6}=\frac{5}{6}-\frac{1}{3}\)
\(x\cdot\frac{5}{6}=\frac{1}{2}\)
\(x=\frac{1}{2}:\frac{5}{6}\)
\(x=\frac{3}{5}\)