\(x+\dfrac{x}{5}+x\times\dfrac{1}{5}=\dfrac{1}{5}\)
\(\Rightarrow x\left(1+\dfrac{1}{5}+\dfrac{1}{5}\right)=\dfrac{1}{5}\)
\(\Rightarrow\dfrac{7}{5}x=\dfrac{1}{5}\)
`=>x=1/7`
\(x+x.\dfrac{1}{5}+x.\dfrac{1}{5}=\dfrac{1}{5}\\ x\left(1+\dfrac{1}{5}+\dfrac{1}{5}\right)=\dfrac{1}{5}\\ x.\left(\dfrac{5+1+1}{5}\right)=\dfrac{1}{5}\\ \dfrac{7}{5}x=\dfrac{1}{5}\\ x=\dfrac{1}{5}:\dfrac{7}{5}\\ x=\dfrac{1}{7}\)
\(x+x\) \(:5\) \(+\) \(x\) \(\text{x}\) \(\dfrac{1}{5}\) \(=\) \(\dfrac{1}{5}\)
\(\text{⇒}\)\(x\) \(\left(1+\dfrac{1}{5}+\dfrac{1}{5}\right)\) \(=\dfrac{1}{5}\)
\(\text{⇒}\)\(\dfrac{7}{5}x\) \(=\dfrac{1}{5}\)
\(\text{⇒}x=\dfrac{1}{5}\) \(\text{:}\) \(\dfrac{7}{5}=\dfrac{1}{7}\)