5/6 : x= 1/6 - 4/5
5/6 : x= -19/30
x = 5/6 : (-19)/30
x = -25/19
\(x=\dfrac{5}{6}:\left(\dfrac{1}{6}-\dfrac{4}{5}\right)=\dfrac{5}{6}:\left(-\dfrac{19}{30}\right)=-\dfrac{25}{19}\)
\(\dfrac{5}{6}:x=\dfrac{1}{6}-\dfrac{4}{5}\)
\(\dfrac{5}{6}:x=-\dfrac{19}{30}\)
\(x=\dfrac{5}{6}:\left(-\dfrac{19}{30}\right)\)
\(x=-\dfrac{25}{19}\)
\(\dfrac{4}{5}+\dfrac{5}{6}\div x=\dfrac{1}{6}\)
\(\dfrac{5}{6}\div x=\dfrac{1}{6}-\dfrac{4}{5}\)
\(\dfrac{5}{6}\div x=\dfrac{1}{6}+\left(\dfrac{-4}{5}\right)=\dfrac{-19}{30}\)
\(x=\dfrac{5}{6}\div\left(\dfrac{-19}{30}\right)\)
\(x=\dfrac{5}{6}\times\dfrac{-30}{19}=\dfrac{-25}{19}\)