Why does x not equal -2 in the function -3x(x+5)/(x+2)(x+5)

I understand why 5 does not equal x. It also makes the top 0. So there's a hole for -5. However -2? Why does it not equal x??

How is this written in the simplest form of -3x/x+2 <--confused.

It's okay for the numerator to be 0. It's not okay for the denominator to be 0 because then the number would be undefined. x cannot equal -2 or -5.

-3x/(x + 2) is in simplest form.

The reason there is a hole for -5 is becuase it makes a zero in the denominator. The same goes for -2. It is not in the domain of the function because plugging in -2 for x gives you a zero in the denominator. The simplest form comes from cancelling out the (x+5) since there is both one in the numerator and denominator.

There is a hole at x=-5 because those factors cancel. X cannot equal -2 because it would mean division by zero, which is not allowed.