\(\frac{2}{3}.x-\frac{3}{2}.\left(x-\frac{1}{2}\right)=\frac{5}{12}\)
\(\Leftrightarrow\frac{2}{3}.x-\frac{3}{2}.x+\frac{3}{4}=\frac{5}{12}\)
\(\Leftrightarrow x.\left(\frac{2}{3}-\frac{3}{2}\right)=\frac{5}{12}-\frac{3}{4}\)
\(\Leftrightarrow x.\frac{-5}{6}=\frac{-4}{12}\)
\(\Leftrightarrow x=\frac{-4}{12}:\frac{-5}{12}\)
\(\Leftrightarrow x=\frac{4}{5}\)
Vậy : \(x=\frac{4}{5}\)