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12 August, 00:47

14 times a number decreased By eight is 22 Increase by 20 times The same number

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  1. 12 August, 00:59
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    14x - 8 = 22 + 20x

    x = - 5

    Step-by-step explanation:

    Let "the number" be represented by x

    Take each part of the statement and translate into algebraic form

    "14 times a number" 14x

    "decreased By eight" - 8

    "is" =

    "22 Increased by" 22 +

    "20 times The same number" 20x

    Put the equation together. Solve for x by isolating.

    (

    14x - 8 = 22 + 20x

    14x - 8 - 20x = 22 + 20x - 20x Subtract 20x from both sides

    -6x - 8 = 22

    -6x - 8 + 8 = 22 + 8 Add 8 to both sides

    -6x = 30

    -6x : - 6 = 30 : - 6 Divide both sides by - 6

    x = - 5
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