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10 December, 01:31

If the sum of twice a number and - 12 is multiplied by 2, the result is 11 greater than the opposite of the number. Find the number.

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  1. 10 December, 05:17
    0
    7

    Step-by-step explanation:

    To write an expression and equation. define the variables first.

    "a number" is x.

    The "sum of twice a number and - 12" is 2x+-12 and multiplied by 2 is 2 (2x + - 12).

    The "11 greater than the opposite of the number" is 11+-x.

    Set the expressions equal and solve for x.

    2 (2x + - 12) = 11 + - x

    4x + - 24 = 11 + - x

    5x + - 24 = 11

    5x = 35

    x=7
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