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29 September, 01:21

Twice the sum of a number and 7 is equal to three times the difference of the number and 8.

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  1. 29 September, 01:25
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    First, set up what you know. Twice the sum of a number and seven means: 2x+7. Three times the difference of the number and 8 is 3 (x-8).

    Set both of them equal to each other and you'll get this:

    2x+7 = 3 (x-8)

    Afterwards just follow through with algebra.

    2x+7 = 3x - 24

    2x + 31 = 3x

    31 = 3x - 2x

    31 = x

    Afterwards check your work to see if it is correct.

    2 (31) + 7 = 3 (31 - 8)

    62 + 7 = 3 (23)

    69 = 69
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