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27 August, 05:20

Identify the property used in the first four steps to solve the equation 4 (x-7) = 2x-6

4x-28=2x-6

2x-28=-6

2x=22

x=11

the answer choices for each step are Distributive, addition property of equality and multiplication property of equality

d, a, a, m

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Answers (1)
  1. 27 August, 07:12
    0
    Step One

    Use the distributive Property to remove the brackets on the left hand side.

    4 (x - 7) = 2x - 6

    4x - 28 = 2x - 6

    Step Two

    Use the addition property of equality to reduce the 2x on the right.

    4x - 2x - 28 = 2x - 2x - 6 Take special note that - 2x is a special case of addition. You are adding a minus. The object is to make 2x on the right equal to zero.

    2x - 28 = - 6

    Step 3

    Use the addition property of equality to reduce - 28 to zero on the left.

    2x - 28 + 28 = - 6 + 28

    2x = 22

    Step 4

    Use the multiplication property of equality to reduce 2x to just 1x

    2x = 22 Multiply both sides by 1/2

    (1/2) * 2x = (1/2) * 22

    x = 11

    And you are done.
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