\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{14}=\dfrac{5}{7}\\\dfrac{5}{7}x+\dfrac{1}{14}=\dfrac{5}{7}\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{9}{14}\\\dfrac{5}{7}x=\dfrac{9}{14}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{9}{14}\\x=\dfrac{9}{10}\end{matrix}\right.\)