\(-\frac{15}{12}x+\frac{3}{7}=\frac{6}{5}x-\frac{1}{2}\)
\(\Leftrightarrow-\frac{6}{5}x-\frac{15}{12}x=-\frac{1}{2}-\frac{3}{7}\)
\(\Leftrightarrow-\frac{123}{60}x=-\frac{13}{14}\)
\(\Leftrightarrow x=-\frac{13}{14}:\frac{-123}{60}\)
\(\Leftrightarrow x=\frac{130}{343}\)
\(-\frac{15}{12}x+\frac{3}{7}=\frac{6}{5}x-\frac{1}{2}\)
\(\Rightarrow-\frac{15}{12}x-\frac{6}{5}x=-\frac{1}{2}-\frac{3}{7}\)
\(\Rightarrow x(-\frac{15}{12}-\frac{6}{5})=\frac{-13}{14}\)
\(\Rightarrow\frac{-49}{20}x=\frac{-13}{14}\)
\(\Rightarrow x=\frac{-13}{14}\div\frac{-49}{20}\)
\(\Rightarrow x=\frac{130}{343}\)