\(\left|x+\dfrac{4}{5}\right|=\dfrac{2022}{2023}\)
\(\Rightarrow x+\dfrac{4}{5}=\dfrac{2022}{2023}\) hoặc \(x+\dfrac{4}{5}=\dfrac{-2022}{2023}\)
\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{4}{5}=\dfrac{2022}{2023}\\x+\dfrac{4}{5}=\dfrac{-2022}{2023}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{2022}{2023}-\dfrac{4}{5}\\x=\dfrac{-2022}{2023}-\dfrac{4}{5}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{10110}{10115}-\dfrac{8092}{10115}\\x=\dfrac{-10110}{10115}-\dfrac{8092}{10115}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{2018}{10115}\\x=-1,799505685\end{matrix}\right.\)