Question 39825
<pre><font size = 4><b>solve the equation

|0.1x - 0.2| = |0.2x - 0.4|

There are two possibilities. Either:

Case 1.  The expressions inside the absolute values are equal

or

Case 2. One of those expressions is -1 times the other.

====================================================

Case 1. 

0.1x - 0.2 = 0.2x - 0.4 

Solve that and get x = 2

Case 2. 

0.1x - 0.2 = -1(0.2x - 0.4) 

Solve that and get x = 2

So the solutions turned out to be the same.
That is an unusual occurrence.  Usually there
are two solutions. 

Edwin
AnlytcPhil@aol.com</pre>