Question 1040455
{{{(x+6)/(3x-12)=5/(x-4)+2/3}}}


Multiply left and right members by {{{3(x-4)}}}, which is the simplest common denominator; and this will let you clear the denominators.  Simplify from there and solve.



A couple of possible first steps:


{{{3(x-4)((x+6)/(3x-12))=3(x-4)((5)/(x-4))+3(x-4)(2/3)}}}


{{{x+6=15+2(x-4)}}}


<b><i>You finish this.</i></b>