Property of real numbers

I need help with this question on my homework.

3x+6-5x=12
(they subtract 6 from the 6 and 12 below)

What property of real numbers guarantees that the next equation is equivalent to the first?

F. Associative property of addition
G. Additive inverse property
H. Commutative property of addition
J. Distributive property

I think it's G but I'm not sure.

Yup. It's "G."

You got it right!

THe next step would be 3x-5x=12-6. To get this you have to write 3x+6-5x-6=3x+6-6-5x, i.e., to set -5x-6=-6-5x. So you would be using H.

G