\(x.3\dfrac{1}{4}+\dfrac{-7}{6}.x-1\dfrac{2}{3}=\dfrac{5}{12}\)
\(x\left(3\dfrac{1}{4}+\dfrac{-7}{6}\right)-1\dfrac{2}{3}=\dfrac{5}{12}\)
\(x.\dfrac{25}{12}-1\dfrac{2}{3}=\dfrac{5}{12}\)
\(x.\dfrac{25}{12}=\dfrac{5}{12}+1\dfrac{2}{3}\)
\(x.\dfrac{25}{12}=\dfrac{5}{12}+\dfrac{5}{3}\)
\(x.\dfrac{25}{12}=\dfrac{25}{12}\)
\(x=\dfrac{25}{12}:\dfrac{25}{12}\)
\(x=1\)