\(\left|\dfrac{4}{9}-\dfrac{1}{3}x\right|=\dfrac{5}{9}\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{4}{9}-\dfrac{1}{3}x=\dfrac{5}{9}\\\dfrac{4}{9}-\dfrac{1}{3}x=\dfrac{-5}{9}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}-\dfrac{1}{3}x=\dfrac{1}{9}\\-\dfrac{1}{3}=-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{-1}{3}\\x=3\end{matrix}\right.\)