Match the reasons with the statement.

given: 12 - x = 20 - 5 x

to prove: x = 2

1.
division property of equality

a. 12 - x = 20 - 5 x

2.
subtraction property of equality

b. 12 + 4 x = 20

3. addition property of equality

c. 4 x = 8

4. given

d. x=2

To prove that x = 2 in the equation given, first, we write the given.
               (4) Given:    (A)  12 - x = 20 - 5x
   Then, add 5x to both sides of the equation,
               (3) Addition property of equality:    (B) 12 + 4x = 20
Then, subtract 12 from both sides of the equation
              (2) Subtraction property of equality:  (C) 4x = 8
Lastly, divide both sides by 4
              (1) Division property of equality :    (D) x = 2

The second and fourth answer are correct