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12 November, 12:38

What is the justification for each step in the solution of the equation?

-2 (x-1) + 12=4x-6-2 (x-1) + 12=4x-6

Select from the drop-down menus to correctly justify each step.

-2 (x-1) + 12=4x-6-2 (x-1) + 12=4x-6 Given

-2x+2+12=4x-6-2x+2+12=4x-6

-2x+14=4x-6-2x+14=4x-6 Combine like terms.

-2x=4x-20-2x=4x-20

-6x=-20-6x=-20 Addition or Subtraction Property of Equality

x=206x=206

x=103x=103 Simplify.

+4
Answers (1)
  1. 12 November, 15:31
    0
    Here are the following justifications:

    Given: - 2 (x-1) + 12=4x-6

    Distribute property = - 2x+2+12=4x-6

    Combine like terms = - 2x+14=4x-6

    Transpose = - 2x = 4x - 20

    Addition or Subtraction Property of Equality = - 6x = - 20

    Division property of equality = x = 20/6

    Simplify = x = 10/3
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