Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10

Which step in solving this equation is justified by the Commutative Property of Addition?
Given ⇒ 2(x − 4) + 6x = 9x − 10
Step 1 ⇒ 2x − 8 + 6x = 9x − 10
Step 2 ⇒ 2x + 6x − 8 = 9x − 10
Step 3 ⇒ 8x − 8 = 9x − 10
Step 4 ⇒ 8x − 8x − 8 = 9x − 8x − 10
Step 5 ⇒ 0 − 8 = x − 10
Step 6 ⇒ −8 = x − 10
Step 7 ⇒ −8 + 10 = x − 10 + 10***
Step 8 ⇒ 2 = x + 0
Step 9 ⇒ 2 = x

How about step 2?

step 1

Step b

The Commutative Property of Addition states that the order in which numbers are added does not affect the sum. In the context of this equation, it means that you can rearrange the terms on either side of the equation without changing the solution.

Looking at the steps provided, the step justified by the Commutative Property of Addition is Step 2:

Step 2 ⇒ 2x + 6x − 8 = 9x − 10

In this step, the terms "2x" and "6x" are rearranged without changing their sum. This step represents the application of the Commutative Property of Addition.

The other steps involve simplifying the equation and isolating the variable "x" to determine its value.