Question

\(x-\frac{5}{6}=xX\frac{5}{8}\)

Answer 1

\(x-\frac{5}{6}=x\times\frac{5}{8}\)

\(\Rightarrow\frac{5}{6}=x-x\times\frac{5}{8}\)

\(\Rightarrow\frac{5}{6}=x\times\left(1-\frac{5}{8}\right)\)

\(\Rightarrow\frac{5}{6}=x\times\frac{3}{8}\)

\(\Rightarrow x=\frac{5}{6}:\frac{3}{8}=\frac{5}{6}\times\frac{8}{3}\)

\(\Rightarrow x=\frac{40}{18}=\frac{20}{9}\)

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Answer 2

\(x-\frac{5}{6}=\frac{5x}{8}\)

\(\frac{8x}{8}-\frac{5x}{8}=\frac{5}{6}\)

\(\frac{3x}{8}=\frac{5}{6}\)

\(3x=\frac{5\times8}{6}=\frac{20}{3}\)

\(x=\frac{20}{3}:3=\frac{20}{9}\)