\(\frac{-11}{6}.x+\frac{3}{2}.x-1\frac{2}{3}=\frac{5}{12}\)
=> \(\left(-\frac{11}{6}+\frac{3}{2}\right).x=\frac{5}{12}+\frac{5}{3}\)
=> \(-\frac{1}{3}.x=\frac{25}{12}\)
=> \(x=\frac{25}{12}:\left(-\frac{1}{3}\right)\)
=> \(x=-\frac{25}{4}\)
\(\frac{-11}{6}x+\frac{3}{2}x-1\frac{2}{3}=\frac{5}{12}\)
\(\Rightarrow\left(-\frac{11}{6}+\frac{3}{2}\right)x-\frac{5}{3}=\frac{5}{12}\)
\(\Rightarrow\left(-\frac{11}{6}+\frac{9}{6}\right)x-\frac{5}{3}=\frac{5}{12}\)
\(\Rightarrow-\frac{1}{3}x-\frac{5}{3}=\frac{5}{12}\)
\(\Rightarrow-\frac{1}{3}x=\frac{5}{12}+\frac{5}{3}\)
\(\Rightarrow-\frac{1}{3}x=\frac{5}{12}+\frac{20}{12}\)
\(\Rightarrow-\frac{1}{3}x=\frac{25}{12}\)
\(\Rightarrow x=\frac{25}{12}:\left(-\frac{1}{3}\right)\)
\(\Rightarrow x=\frac{25}{12}.\left(-3\right)\)
\(\Rightarrow x=\frac{-75}{12}\)
\(\Rightarrow x=\frac{-25}{4}\)