Question 820480
<pre>
|3a+9| = |3a-5|

Break that into two equations:

3a+9 = 3a-5   OR   3a+9 = -(3a-5)
   9 = -5          3a+9 = -3a+5
No solution          6a = -4
to this part          a = {{{-4/6}}}
                      a = {{{-2/3}}}

There is one solution, a = {{{-2/3}}}

Edwin</pre>