Unusual Partition

Algebra Level 4

3x12x=2\large |3x-|1-2x||=2

Given that the sum of all possible values of xx that satisfy the equation above can be expressed in the form mn\dfrac{m}{n}, where mm and nn are coprime, positive integers, find the value of m+nm+n.

This problem is part of the set Absolute Value Equations.

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