\(-\dfrac{2}{3}\left(x-\dfrac{1}{4}\right)=\dfrac{1}{3}\left(2x-1\right)\)
\(\Rightarrow-\dfrac{2}{3}x+\dfrac{1}{6}=\dfrac{2}{3}x-\dfrac{1}{3}\)
\(\Rightarrow-\dfrac{2}{3}x-\dfrac{2}{3}x=-\dfrac{1}{3}-\dfrac{1}{6}\)
\(\Rightarrow-\dfrac{4}{3}x=-\dfrac{1}{2}\)
\(\Rightarrow x=-\dfrac{1}{2}:\left(-\dfrac{4}{3}\right)\)
\(\Rightarrow x=-\dfrac{1}{2}\cdot\dfrac{-3}{4}=\dfrac{3}{8}\)
Lời giải:
$\frac{-2}{3}(x-\frac{1}{4})=\frac{1}{3}(2x-1)$
$\frac{-2}{3}x+\frac{-2}{3}.\frac{-1}{4}=\frac{2}{3}x-\frac{1}{3}$
$\frac{-2}{3}x+\frac{1}{6}=\frac{2}{3}x-\frac{1}{3}$
$\frac{2}{3}x+\frac{2}{3}x=\frac{1}{3}+\frac{1}{6}$
$\frac{4}{3}x=\frac{1}{2}$
$x=\frac{1}{2}: \frac{4}{3}=\frac{3}{8}$
−23(x−14)=13(2x−1)−23(�−14)=13(2�−1)
−23x+−23.−14=23x−13−23�+−23.−14=23�−13
−23x+16=23x−13−23�+16=23�−13
23x+23x=13+1623�+23�=13+16
43x=1243�=12
x=12:43=38