Absolute Value Equations #2

Algebra Level 4

Given that the sum of all possible values of \(x\) that satisfy the equation

\[\large |3x-2|-|x+1|=x+2\]

can be expressed in the form \(\dfrac{m}{n}\), where \(m\) and \(n\) are coprime positive integers, find the value of \(m+n\).

This problem is part of the set Absolute Value Equations.


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