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