Indicate which property is illustrated in Step 6.

Step 1 7 - 11x - 7 + 12x = (7 - 11x) + (-7 + 12x)
Step 2 = (7 - 11x) + (12x - 7)
Step 3 = 7 + (-11x + 12x) - 7
Step 4 = 7 + (-11 + 12)x - 7
Step 5 = 7 + x - 7
Step 6 = x + 7 - 7
Step 7 = x + 0
Step 8 = x

associative
commutative
distributive
identity

Question

Indicate which property is illustrated in Step 6.

Step 1	7 - 11x - 7 + 12x	=	(7 - 11x) + (-7 + 12x)
Step 2		=	(7 - 11x) + (12x - 7)
Step 3		=	7 + (-11x + 12x) - 7
Step 4		=	7 + (-11 + 12)x - 7
Step 5		=	7 + x - 7
Step 6		=	x + 7 - 7
Step 7		=	x + 0
Step 8		=	x

associative
commutative
distributive
identity

directrix · Answer

How do you get from:

7 + x - 7     to      x + 7 - 7  

Study both sides of the "to."  What has changed? @Starr_Dynasty

directrix · Answer

The -7 is still in place.


7 + x  to x + 7

anonymous · Answer

distributive

directrix · Answer

Which property states that the order of addition does not matter? 

(not distributive but a good wrong answer)

anonymous · Answer

commutative lol

anonymous · Answer

lol ya @Directrix