\(\dfrac{2}{3}x=\dfrac{3}{2}-\dfrac{1}{3}\\ \dfrac{2}{3}x=\dfrac{3.3-1.2}{6}\\ \dfrac{2}{3}x=\dfrac{7}{6}\\ x=\dfrac{7}{6}:\dfrac{2}{3}\\ x=\dfrac{7}{6}.\dfrac{3}{2}\\ x=\dfrac{7}{4}\)
\(\dfrac{3}{2}-\dfrac{2}{3}.x=\dfrac{1}{3}\)
\(\dfrac{2}{3}.x=\dfrac{3}{2}-\dfrac{1}{3}\)
\(\dfrac{2}{3}.x=\dfrac{7}{6}\)
\(x=\dfrac{7}{6}:\dfrac{2}{3}\)
\(x=\dfrac{7}{6}.\dfrac{3}{2}\)
\(x=\dfrac{7}{4}\)
\(\dfrac{3}{2}-\dfrac{2}{3}.x=\dfrac{1}{3}\)
\(\dfrac{2}{3}.x=\dfrac{3}{2}-\dfrac{1}{3}\)
\(\dfrac{2}{3}.x=\dfrac{9}{6}-\dfrac{2}{6}\)
\(\dfrac{2}{3}.x=\dfrac{7}{6}\)
\(x=\dfrac{7}{6}:\dfrac{2}{3}\)
\(x=\dfrac{7}{6}\times\dfrac{3}{2}\)
\(x=\dfrac{21}{12}\) \(=\dfrac{7}{4}\)
\(\dfrac{3}{2}-\dfrac{2}{3}.x=\dfrac{1}{3}\)\(\Leftrightarrow\dfrac{2}{3}.x=\dfrac{7}{6}\)\(\Leftrightarrow x=\dfrac{7}{4}\)
