\(\dfrac{4}{7}+\dfrac{5}{9}:x=\dfrac{1}{5}\)
\(\Rightarrow\dfrac{5}{9}:x=\dfrac{1}{5}-\dfrac{4}{7}=\dfrac{7-20}{35}=\dfrac{-13}{35}\)
\(\Rightarrow\dfrac{5}{9}:x=\dfrac{-13}{35}\Rightarrow x=\dfrac{5}{9}:\dfrac{-13}{35}=\dfrac{5}{9}.\dfrac{35}{-13}=\dfrac{175}{-117}\)
\(\Rightarrow x=\dfrac{175}{-117}\)
\(\dfrac{4}{7}+\dfrac{5}{9}\) : x = \(\dfrac{1}{5}\)
\(\dfrac{5}{9}:\) x = \(\dfrac{1}{5}-\dfrac{4}{7}\)
\(\dfrac{5}{9}:\) x = \(-\dfrac{13}{35}\)
x = \(\dfrac{5}{9}:\left(-\dfrac{13}{35}\right)\)
x = \(-\dfrac{175}{117}\)