x/x+3 -x/x+3=x^2+9/x^2-9 solve for x and check your answers

Too many typos in your question

1. you probably meant
x/(x+3) and (x^2+9)/(x^2-9) , those brackets ARE essential.

2. probably one of the denominators is x-3, I just recognize that nice pattern of
x^2-9 = x+3)(x-3)

Retype the problem correctly and I will help you.