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What is the justification for each step in the solution 4(-6x-3) + 24 = -72x + 132

1 Answer

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  • Given 4(-6x-3) + 24 = -72x + 132
  • Distributived Property -24x -12 + 24 = -72x + 132

you multiply 4 to -6x and -3

  • Combine Like terms -96x + 12 = 132

you combined the one that has the same variable and no variable number like

(-72x )+ (-24x) = -96x

(-12) + 24 = 12

  • Subtraction Property of Equality -96x = 120

subtract 12 on both sides, like this -96 + 12-12 = 132-12 then you've got -96x = 120

  • Division Property of Equality x = -1.25

you divide -96, like this -96x/-96 = 120/-96 , so you will got the x = -1.25

User Rob McCready
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