a) \(\frac{3}{2}x-\frac{7}{3}=-\frac{1}{4}\)
\(\frac{3}{2}\cdot x=\frac{-1}{4}+\frac{7}{3}\)
\(\frac{3}{2}\cdot x=\frac{-3}{12}+\frac{28}{12}\)
\(\frac{3}{2}\cdot x=\frac{-25}{12}\)
\(x=\frac{-25}{12}:\frac{3}{2}\)
\(x=\frac{-25}{12}\cdot\frac{2}{3}\)
\(x=\frac{-50}{36}\)
\(x=\frac{-25}{18}\)
b) \(\frac{3}{4}-\left(x+\frac{1}{2}\right)=\frac{1}{4}\)
\(\left(x+\frac{1}{2}\right)=\frac{3}{4}-\frac{1}{4}\)
\(x+\frac{1}{2}=\frac{2}{4}\)
\(x+\frac{1}{2}=\frac{1}{2}\)
\(x=\frac{1}{2}-\frac{1}{2}\)
\(x=0\)
c) \(\left|2x-1\right|-\frac{1}{2}=\frac{1}{3}\)
\(\left|2x-1\right|=\frac{1}{3}+\frac{1}{2}\)
\(\left|2x-1\right|=\frac{2}{6}+\frac{3}{6}\)
\(\left|2x-1\right|=\frac{5}{6}\)
\(\Rightarrow2x-1=\frac{5}{6}\) hoặc \(2x-1=-\frac{5}{6}\)
\(2\cdot x=\frac{5}{6}+1\) hoặc \(2\cdot x=\frac{-5}{6}+1\)
\(2\cdot x=\frac{5}{6}+\frac{6}{6}\) hoặc \(2\cdot x=\frac{-5}{6}+\frac{6}{6}\)
\(2\cdot x=\frac{11}{6}\) hoặc \(2\cdot x=\frac{1}{6}\)
\(x=\frac{11}{6}:2\) hoặc \(x=\frac{1}{6}:2\)
\(x=\frac{11}{6}:\frac{2}{1}\) hoặc \(x=\frac{1}{6}:\frac{2}{1}\)
\(x=\frac{11}{6}\cdot\frac{1}{2}\) hoặc \(x=\frac{1}{6}\cdot\frac{1}{2}\)
\(x=\frac{11}{12}\) hoặc \(x=\frac{1}{12}\)
