\(\Leftrightarrow\left|4x+\dfrac{4}{5}\right|=\left|x-\dfrac{2}{5}\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}4x+\dfrac{4}{5}=x-\dfrac{2}{5}\\4x+\dfrac{4}{5}=-x+\dfrac{2}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=\dfrac{-6}{5}\\5x=\dfrac{-2}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-2}{5}\\x=\dfrac{-2}{25}\end{matrix}\right.\)