\(\frac{4}{3}\left(x-\frac{1}{4}\right)=\frac{3}{2}\left(2x-1\right)\)
\(\Leftrightarrow\frac{4}{3}x-\frac{1}{3}=3x-\frac{3}{2}\)
\(\Leftrightarrow\frac{4}{3}x-3x=\frac{1}{3}-\frac{3}{2}\)
\(\Leftrightarrow-\frac{5}{3}x=-\frac{7}{6}\)
\(\Leftrightarrow x=\left(-\frac{7}{6}\right)\div\left(-\frac{5}{3}\right)\)
\(\Leftrightarrow x=\frac{7}{10}\)
\(\frac{4}{3}\left(x-\frac{1}{4}\right)=\frac{3}{2}\left(2x-1\right)\)
\(\Rightarrow\frac{4}{3}x-\frac{1}{3}-3x+\frac{3}{2}=0\)
\(\Rightarrow-\frac{5}{3}x+\frac{7}{6}=0\)
\(\Rightarrow-\frac{5}{3}x=-\frac{7}{6}\)
\(\Rightarrow x=\frac{7}{10}\)
Study well
