5/7 : x = 1/6 - 4/5
5/7 : x = -19/30
x = 5/7 : (-19)/30
x = -150/133
5/7 : x = 1/6 - 4/5
=>5/7 : x = -19/30
=>x = 5/7 : (-19)/30
=>x = -150/133
\(\dfrac{4}{5}+\dfrac{5}{7}:x=\dfrac{1}{6}\)
\(\Leftrightarrow\dfrac{5}{7}:x=\dfrac{1}{6}-\dfrac{4}{5}\)
\(\Leftrightarrow\dfrac{5}{7}:x=\dfrac{5}{30}-\dfrac{24}{30}\)
\(\Leftrightarrow\dfrac{5}{7}:x=-\dfrac{19}{30}\)
\(\Leftrightarrow x=\dfrac{5}{7}:\dfrac{-19}{30}\)
\(\Leftrightarrow x=\dfrac{5}{7}\times\dfrac{-30}{19}\)
\(\Leftrightarrow x=-\dfrac{150}{135}\)
