Question 620928
<pre>
|5-m| = |m+8|

That becomes two equations without absolute value bars:

   5-m = m+8             5-m = -(m+8)
   -2m = 3               5-m = -m-8  
     m = {{{3/(-2)}}}            -m+m = -13  
     m = {{{-3/2}}}                0 = -13
                           this part has no solution

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 So the only solution is  m = {{{-3/2}}}

Edwin</pre>