Đáp án:
\(x = \frac{{37}}{{12}}\) hoặc \(x = \frac{{ - 41}}{{12}}\)
Giải thích các bước giải:
\[\begin{array}{l}
\left| {2x + \frac{1}{3}} \right| - \frac{5}{2} = \frac{8}{2}\\
\Rightarrow \left| {2x + \frac{1}{3}} \right| = \frac{8}{2} + \frac{5}{2}\\
\Rightarrow \left| {2x + \frac{1}{3}} \right| = \frac{{13}}{2}\\
TH1:\,2x + \frac{1}{3} = \frac{{13}}{2}\\
2x = \frac{{13}}{2} - \frac{1}{3}\\
2x = \frac{{37}}{6}\\
x = \frac{{37}}{{12}}\\
TH2:2x + \frac{1}{3} = - \frac{{13}}{2}\\
2x = - \frac{{13}}{2} - \frac{1}{3}\\
2x = \frac{{ - 41}}{6}\\
x = \frac{{ - 41}}{{12}}
\end{array}\]
