Question

-5( x + \(\dfrac{1}{5}\)) - \(\dfrac{1}{2}\)( x - \(\dfrac{2}{3}\)) = \(\dfrac{3}{2}\)x - \(\dfrac{5}{6}\)

Answer 1

Ta có: \(-5\left(x+\dfrac{1}{5}\right)-\dfrac{1}{2}\left(x-\dfrac{2}{3}\right)=\dfrac{3}{2}x-\dfrac{5}{6}\)

\(\Rightarrow-5x-1-\dfrac{1}{2}x+\dfrac{1}{3}=\dfrac{3}{2}x-\dfrac{5}{6}\)

\(\Rightarrow-5x-\dfrac{1}{2}x-\dfrac{3}{2}x=1-\dfrac{1}{3}-\dfrac{5}{6}\)

\(\Rightarrow-7x=\dfrac{-1}{6}\)

\(\Rightarrow x=\dfrac{-1}{6}:\left(-7\right)=\dfrac{1}{42}\)

Vậy \(x=\dfrac{1}{42}.\)