Problem Solving (PS) | If |x - 2| = |x + 3|, x could equal

With absolute value equations this simple, for me, the method below is easy and fast (less than a minute).

The only way the two sides will be equal is if quantities inside the absolute value brackets are 1) equal or 2) equal but with opposite signs.

So |A| = B or -B*

1. Remove the absolute value bars

2. LHS = RHS or LHS = -RHS

3. Set up the two equations

Case 1: x - 2 = x + 3, OR

Case 2: x - 2 = -(x +
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