<PRE><B>Question 314273</B>
Assume the problem is:
{{{2/17}}} = {{{(x-6)/(x+9)}}} 
The LCD is 17(x+9), but with this problem you can cross multiply
17(x-6) = 2(x+9)
:
17x - 102 = 2x + 18
:
17x - 2x = 18 + 102
:
15x = 120
x = {{{120/15}}}
x = 8
:
:
Check solution in the original equation:
{{{2/17}}} = {{{(8-6)/(8+9)}}}
{{{2/17}}} = {{{2/17}}} </PRE>