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SMO 2024 Open Round 1 Question 4

SMO · SMO 2024 Open Round 1

Question 4

Find the number of real numbers $x$ that satisfies the equation $|x-2|+|x-3|=|2x-5|$.

(Note: If you think that there are no such numbers, enter “0”; if you think that there are infinitely many such numbers, enter “99999”.)