-7x-27=8-1(x-19) what’s the answer

Question

-7x-27=8-1(x-19) what’s the answer

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Piper 1 week 2021-11-26T05:33:48+00:00 1 Answer 0

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    2021-11-26T05:35:25+00:00

    Answer:

    x = -9

    Step-by-step explanation:

    Solve for x:

    -7 x – 27 = 8 – (x – 19)

    -(x – 19) = 19 – x:

    -7 x – 27 = 19 – x + 8

    Add like terms. 8 + 19 = 27:

    -7 x – 27 = 27 – x

    Add x to both sides:

    x – 7 x – 27 = (x – x) + 27

    x – x = 0:

    x – 7 x – 27 = 27

    x – 7 x = -6 x:

    -6 x – 27 = 27

    Add 27 to both sides:

    (27 – 27) – 6 x = 27 + 27

    27 – 27 = 0:

    -6 x = 27 + 27

    27 + 27 = 54:

    -6 x = 54

    Divide both sides of -6 x = 54 by -6:

    (-6 x)/(-6) = 54/(-6)

    (-6)/(-6) = 1:

    x = 54/(-6)

    The gcd of 54 and -6 is 6, so 54/(-6) = (6×9)/(6 (-1)) = 6/6×9/(-1) = 9/(-1):

    x = 9/(-1)

    Multiply numerator and denominator of 9/(-1) by -1:

    Answer:  x = -9

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