KöMaL 2021 C1694

Solve the following equation over the set of real numbers: $$\begin{gather*} x-2021-\frac{x-2020}{2}+\frac{x-2019}{3}-\frac{x-2018}{4}+\frac{x-2017}{5}-\dots +{}\\ {} + \frac{x-3}{2019}-\frac{x-2}{2020}+\frac{x-1}{2021}-\frac{x}{2022}=0. \end{gather*}$$