\(\frac{13}{15}-\left(\frac{13}{21}+x\right).\frac{7}{12}=\frac{7}{10}\)
\(\frac{13}{15}-\left(\frac{13}{21}.\frac{7}{12}+\frac{7}{12}.x\right)=\frac{7}{10}\)
\(\frac{13}{15}-\left(\frac{13}{36}+\frac{7}{12}.x\right)=\frac{7}{10}\)
\(\frac{13}{15}-\frac{13}{36}-\frac{7}{12}.x=\frac{7}{10}\)
\(-\frac{7}{12}.x=\frac{7}{10}-\frac{13}{15}+\frac{13}{36}\)
\(-\frac{7}{12}.x=\frac{126}{180}-\frac{156}{180}+\frac{65}{180}\)
\(-\frac{7}{12}.x=\frac{7}{36}\)
\(x=\frac{7}{36}:\left(-\frac{7}{12}\right)\)
\(x=\frac{7}{36}.\frac{-12}{7}\)
\(x=\frac{-1}{3}\)