\(\frac{5}{7}:x+\frac{4}{5}=\frac{1}{6}\)
\(\frac{5}{7}:x=\frac{1}{6}-\frac{4}{5}=-\frac{19}{30}\)
\(x=\frac{5}{7}:\frac{-19}{30}=-\frac{150}{133}\)
\(\frac{5}{7}:x+\frac{4}{5}=\frac{1}{6}\Rightarrow\frac{5}{7}:x=\frac{1}{6}-\frac{4}{5}=-\frac{19}{30}\Rightarrow x=\frac{5}{7}:-\frac{19}{30}=\frac{5}{7}.-\frac{30}{19}=-\frac{150}{133}\)