10. Amelia claims that the solution to -10x + 2(3x + 5) ---2x is x = 5. She shows the following steps to
justify her solution.
Given:
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Step 6:
-10x + 2 (3x + 5) = -2x
-10x + 6x + 10 = -2x
4x +10 = -2x
4x +4x +10 = -2x + 4x
0 + 10 = 2x
10 = 2x
5=x
Select all correct justifications for the steps shown above.
A. Step 1 is justified by the distributive property.
B. Step 2 is justified by the addition property of equality.
C. Step 3 is justified by the addition property of equality.
D. Step 4 is justified by the property of additive identity.
E. Step 5 is justified by the property of additive identity.

A, C, E

Step-by-step explanation:

  Step              Statement                             Reason

Step 0                      Given

Step 1                         Distributive property (option A is true).

Step 2                                 Combine like terms (option B is false)

Step 3                Addition property of equality (option C is true).

Step 4                                        Additive inverse property (option D is false)

Step 5                                               Additive identity property (option E is true)

Last step                                              Division property of equality    

1. perpendicular

2. parallel

3. perpendicular