Am I overcomplicating a simple algebraic expression?

[Femme_physics]

I mean "equation", not "expression"..sorry.

I think I have issues with squared unknowns at the denominator. My big question is whether I STARTED OUT solving this equation correctly, or did I overcomplicate things perhaps?

Attached is the problem with my attempt.

I'll be happy for some guidance.

 

[Pengwuino]

Whoa you definitely overcomplicated things!

Hint: $$(x+5)(x-5) = x^2 -25$$

 

[Femme_physics]

Fair enough, but what do I do with that 3x+15 denominator? I've tried a bunch of stuff but I keep getting entangled with it

 

[Pengwuino]

Well that's just 3(x+5) right? So you can just let it be $${{5/3} \over {(x+5)}}$$

 

[Femme_physics]

Ah...got the answer! actually used 3(x+5)(3-5) as common denominator. x = 8

:D Thanks aa bunch pengwuino!