\(\left| {x : \dfrac{-5}{6} -\dfrac{ 3}{4}}\right | = 2\)
TH1: \(x : \dfrac{-5}{6} -\dfrac{ 3}{4} = 2\)
\(\Rightarrow x : \dfrac{-5}{6} =2+\dfrac{3}{4}\)
\(\Rightarrow x : \dfrac{-5}{6} =\dfrac{11}{4}\)
\(\Rightarrow x=\dfrac{11}{4}.\dfrac{-5}{6}\)
\(\Rightarrow x=\dfrac{-55}{24}\) (tm)
TH2: \(x : \dfrac{-5}{6} -\dfrac{ 3}{4} = -2\)
\(\Rightarrow x : \dfrac{-5}{6} =-2+\dfrac{3}{4}\)
\(\Rightarrow x : \dfrac{-5}{6} =\dfrac{-5}{4}\)
\(\Rightarrow x=\dfrac{-5}{4}.\dfrac{-5}{6}\)
\(\Rightarrow x=\dfrac{25}{24}\) (tm).