Question

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

Answer 1

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