Giải:
a) \(\dfrac{4}{9}-\dfrac{7}{8}.x=-\dfrac{2}{3}\)
\(\dfrac{7}{8}x=\dfrac{4}{9}-\dfrac{-2}{3}\)
\(x=\dfrac{10}{9}:\dfrac{7}{8}\)
\(x=\dfrac{80}{63}\)
b) \(\dfrac{1}{6}+\dfrac{-5}{7}:x=\dfrac{-7}{8}\)
\(-\dfrac{5}{7}:x=\dfrac{-7}{8}-\dfrac{1}{6}\)
\(\dfrac{-5}{7}:x=\dfrac{-5}{9}\)
\(x=\dfrac{-5}{7}:\dfrac{-5}{9}\)
\(x=\dfrac{9}{7}\)
\(\dfrac{4}{9}-\dfrac{7}{8}.x=\dfrac{-2}{3}\)
\(\dfrac{7}{8}.x=\dfrac{4}{9}-\left(-\dfrac{2}{3}\right)\)
\(\dfrac{7}{8}.x=\dfrac{10}{9}\)
\(x=\dfrac{10}{9}:\dfrac{7}{8}\)
\(x=\dfrac{80}{63}\)
Vậy:\(x=\dfrac{80}{63}\)
\(\dfrac{1}{6}+\dfrac{-5}{7}:x=\dfrac{-7}{18}\)
\(\dfrac{-5}{7}:x=\dfrac{-7}{18}-\dfrac{1}{6}\)
\(\dfrac{-5}{7}:x=\dfrac{-5}{9}\)
x=\(\dfrac{-5}{7}:\dfrac{-5}{9}\)
x= \(\dfrac{9}{7}\)
Vậy x=\(\dfrac{9}{7}\)