\(-\frac{15}{12}x+\frac{3}{7}=\frac{6}{5}x-\frac{1}{2}\)
\(\frac{15}{12}x+\frac{6}{5}x=\frac{1}{2}+\frac{3}{7}\)
\(\frac{75}{60}x+\frac{72}{60}x=\frac{7}{14}+\frac{6}{14}\)
\(\frac{147}{60}x=\frac{13}{14}\)
\(x=\frac{13}{14}\div\frac{147}{60}\)
\(x=\frac{13}{14}\times\frac{60}{147}\)
\(x=\frac{130}{343}\)