Absolute Value Equations #2
Algebra
Level
4
Given that the sum of all possible values of \(x\) that satisfy the equation
\[|3x-2|-|x+1|=x+2\]
can be expressed in the form \(\frac{m}{n}\), where \(m\) and \(n\) are coprime, positive integers, find the value of \(m+n\).
This problem is part of the set Absolute Value Equations.
by
Victor Loh