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Match the reasons with the statement.


Given: 12 - x = 20 - 5 x


To Prove: x = 2


Division property of equality

A12 - x = 20 - 5 x

2.

Subtraction property of equality

B12 + 4 x = 20

  1. Addition property of equality

C4 x = 8

  1. given

Dx=2

Verified Answer :

taskmasters

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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