I need some help with this question.

(5/x-2) = (6/x+6) + {29/(x-2)(x+6)}

I don't know how to solve this. Can someone help me figure this out?

Thanks.

multiply both sides by (x-2)(x+6)

you get:
5(x+6)=6(x-2)+29
now, expand that, gather terms, and solve.