Đáp án: $x = \frac{{ - 1}}{2}\,hoặc\,x = \frac{7}{6}$
Giải thích các bước giải:
$\begin{array}{l}
\left| { - x + \frac{1}{3}} \right| = \frac{5}{6}\\
\Rightarrow \left[ \begin{array}{l}
- x + \frac{1}{3} = \frac{5}{6}\\
- x + \frac{1}{3} = - \frac{5}{6}
\end{array} \right. \Rightarrow \left[ \begin{array}{l}
x = \frac{1}{3} - \frac{5}{6}\\
x = \frac{1}{3} + \frac{5}{6}
\end{array} \right.\\
\Rightarrow \left[ \begin{array}{l}
x = \frac{2}{6} - \frac{5}{6}\\
x = \frac{2}{6} + \frac{5}{6}
\end{array} \right. \Rightarrow \left[ \begin{array}{l}
x = \frac{{ - 1}}{2}\\
x = \frac{7}{6}
\end{array} \right.\\
Vậy\,x = \frac{{ - 1}}{2}\,hoặc\,x = \frac{7}{6}
\end{array}$
