\(\left|\dfrac{1}{x}-2\right|+\dfrac{-2}{5}=\dfrac{1}{4}\)
\(\left|\dfrac{1}{x}-2\right|=\dfrac{1}{4}+\dfrac{2}{5}=\dfrac{13}{20}\)
TH1:\(\dfrac{1}{x}-2=\dfrac{13}{20}\)⇒\(\dfrac{1}{x}=\dfrac{53}{20}\)⇒\(x=\dfrac{20}{53}\)
TH2:\(\dfrac{1}{x}-2=-\dfrac{13}{20}\)⇒\(\dfrac{1}{x}=\dfrac{27}{20}\)⇒\(x=\dfrac{20}{27}\)
