Question 80549
{{{((6/(x-3)))}}} = {{{(9/(x+3))}}}
{{{(((x-3)(x+3)6/(x-3)))}}} = {{{((x-3)(x+3)9/(x+3))}}} [multiply each term by the GCF]
.
(x+3)6 = (x-3)9 [cancel wherever possible]
6x+18=9x-27 [simplify]
6x-6x+18=9x-6x-27 [solve for the x-term]
18=3x-27
18+27=3x-27+27
45=3x
x=15
.
Check by plugging (x=15) back into the original equation.