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