Absolute Value Equations #2

Algebra Level 4

Given that the sum of all possible values of xx that satisfy the equation

3x2x+1=x+2\large |3x-2|-|x+1|=x+2

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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