Question 1097826
.
I assume it is   {{{(x-3)/(x-4)}}} = {{{(x+2)/(x+6)}}}.


Then


<pre>
Cross multiply to get

(x-3)*(x+6) = (x+2)*(x-4)  ====>

x^2 + 3x - 18 = x^2 -2x - 8  ====>

5x = 10  ====>  x = {{{10/5}}} = 2.
</pre>

<U>Answer</U>. The only solution is x = 2.