\(\frac{2}{5}+\frac{3}{5}.\left(3x-3.7\right)=\frac{-53}{10}\)
\(\Rightarrow\frac{3}{5}.\left(3x-3.7\right)=\frac{-53}{10}-\frac{2}{5}\)
\(\Rightarrow\frac{3}{5}.\left(3x-3.7\right)=\frac{-57}{10}\)
\(\Rightarrow3x-3.7=\frac{-57}{10}:\frac{3}{5}\)
\(\Rightarrow3x-3.7=\frac{-19}{2}\)
\(\Rightarrow3x=\frac{-19}{2}+21\)
\(\Rightarrow3x=\frac{23}{2}\)
\(\Rightarrow x=\frac{23}{2}:3\)
\(\Rightarrow x=\frac{23}{6}\)