Solve the following equation for :

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Solve the following equation for xx: ∣x−1∣=2[x]−3{x}|x-1| = 2[x] - 3\{x\}, where [x][x] and {x}\{x\} denotes integral and fractional part of xx.

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