What is the simplified form of the quantity of x plus 5, all over the quantity of 9 − the quantity of x plus 4, all over the quantity of x plus 6

This is the concept of algebra, the above information can be summarized as:
(x+5)/[(9-x+4)/(x+6)]
=(x+5)/[(-x+5)/(x+6)]
=(x+5)*(x+6)/(-x+5)
=[(x+5)(x+6)]/[-x+5]
=(x^2+11x+30)/(-x+5)
the answer is:
(x^2+11x+30)/(-x+5)