$\Big|x+\dfrac{2}{7}\Big|=\dfrac{5}{14}$
\(\to\left[ \begin{array}{l}x+\dfrac{2}{7}=\dfrac{5}{14}\\x+\dfrac{2}{7}=-\dfrac{5}{14}\end{array} \right.\)
\(\to\left[ \begin{array}{l}x=\dfrac{5}{14}-\dfrac{2}{7}\\x=-\dfrac{5}{14}-\dfrac{2}{7}\end{array} \right.\)
\(\to\left[ \begin{array}{l}x=\dfrac{5}{14}-\dfrac{4}{14}\\x=-\dfrac{5}{14}-\dfrac{4}{14}\end{array} \right.\)
\(\to\left[ \begin{array}{l}x=\dfrac{1}{14}\\x=-\dfrac{9}{14}\end{array} \right.\)
