Solve the equation $|x-m|+|x+m|=x$ depending on the value of the parameter $m$.
Problem
Source: 2008 Bulgarian Autumn Math Competition, Problem 8.1
Tags: parameter, algebra, absolute value
Source: 2008 Bulgarian Autumn Math Competition, Problem 8.1
Tags: parameter, algebra, absolute value
Solve the equation $|x-m|+|x+m|=x$ depending on the value of the parameter $m$.