Find all real numbers $x$ that satisfy the equation $$\frac{x-2020}{1}+\frac{x-2019}{2}+\cdots+\frac{x-2000}{21}=\frac{x-1}{2020}+\frac{x-2}{2019}+\cdots+\frac{x-21}{2000},$$ and simplify your answer(s) as much as possible. Justify your solution.