`1/2 x + 2/3 (x-1) = 1/3`
`1/2 x + 2/3 x - 2/3 = 1/3`
`(1/2 + 2/3) .x = 1/3 + 2/3`
`7/6 x=1`
`x=1 : 7/6`
`x=6/7`
Ta có: \(\dfrac{1}{2}x+\dfrac{2}{3}\left(x-1\right)=\dfrac{1}{3}\)
\(\Leftrightarrow\dfrac{1}{2}x+\dfrac{2}{3}x=\dfrac{1}{3}+\dfrac{2}{3}=1\)
\(\Leftrightarrow\dfrac{7}{6}x=1\)
hay \(x=\dfrac{6}{7}\)