\(\Rightarrow\left(\frac{13}{21}+x\right).\frac{7}{12}=\frac{13}{15}-\frac{7}{10}\)
\(\Rightarrow\left(\frac{13}{21}+x\right).\frac{7}{12}=\frac{1}{6}\)
\(\Rightarrow\frac{13}{21}+x=\frac{1}{6}.\frac{12}{7}=\frac{2}{7}\)
\(\Rightarrow x=\frac{2}{7}-\frac{13}{21}=\frac{-1}{3}\)
\(\Rightarrow\frac{13}{15}-\left(\frac{13}{21}+x\right)=\frac{6}{5}\)
\(\Rightarrow\left(\frac{13}{21}+x\right)=\frac{13}{15}-\frac{6}{5}=-\frac{1}{3}\)
\(\Rightarrow x=-\frac{1}{3}-\frac{13}{21}=-\frac{20}{21}\)
\(\Rightarrow\left(\frac{13}{21}+x\right)\times\frac{7}{12}=\frac{13}{15}-\frac{7}{10}\)
\(\Rightarrow\frac{13}{21}+x=\frac{1}{6}:\frac{7}{12}\)
\(\Rightarrow x=\frac{13}{21}-\frac{2}{7}\)
\(\Rightarrow x=\frac{1}{3}\)
\(\frac{13}{15}-\left(\frac{13}{21}+x\right)\times\frac{7}{12}=\frac{7}{10}\)
\(\left(\frac{13}{15}+x\right)\times\frac{7}{12}=\frac{13}{15}-\frac{7}{10}\)
\(\left(\frac{13}{15}+x\right)\times\frac{7}{12}=\frac{1}{6}\)
\(\frac{13}{15}+x=\frac{1}{6}:\frac{7}{12}\)
\(\frac{13}{15}+x=\frac{2}{7}\)
\(x=\frac{2}{7}-\frac{13}{15}\)
\(x=\frac{-61}{105}\)