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SMO 2023 Open Round 1 Question 12

SMO · SMO 2023 Open Round 1

Question 12

Find $x$ which satisfies the following equation $$\frac{x-2019}{1}+\frac{x-2018}{2}+\frac{x-2017}{3}+\cdots+\frac{x+2}{2022}+\frac{x+3}{2023}=2023.$$