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27 July, 20:52

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

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Answers (1)
  1. 28 July, 00:04
    0
    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
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