Lời giải:
Báo sai\(\begin{aligned} &\left|-\frac{2}{3} x+\frac{1}{4}\right|=\frac{1}{6} \\ &\frac{-2}{3} x+\frac{1}{4}=\frac{1}{6} \quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\text { hoặc } \quad \frac{-2}{3} x+\frac{1}{4}=\frac{-1}{6} \\ &\frac{-2}{3} x=\frac{1}{6}-\frac{1}{4}=\frac{-1}{12} \quad \text { hoặc } \quad \frac{-2}{3} x=\frac{-1}{6}-\frac{1}{4}=\frac{-5}{12} \\ &x=\frac{-1}{12}: \frac{-2}{3} \quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\text { hoặc } \quad x=\frac{-5}{12}: \frac{-2}{3} \end{aligned}\)
\(x=\frac{1}{8} \quad\,\,\,\,\,\,\,\,\,\,\, \text { hoặc } \quad x=\frac{5}{8}\)
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