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22 September, 03:33

2x + 6 = 7x - 14, what is "x"

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  1. 22 September, 07:18
    0
    x = 4

    Step-by-step explanation:

    Solve for x:

    2 x + 6 = 7 x - 14

    Subtract 7 x from both sides:

    (2 x - 7 x) + 6 = (7 x - 7 x) - 14

    2 x - 7 x = - 5 x:

    -5 x + 6 = (7 x - 7 x) - 14

    7 x - 7 x = 0:

    6 - 5 x = - 14

    Subtract 6 from both sides:

    (6 - 6) - 5 x = - 6 - 14

    6 - 6 = 0:

    -5 x = - 6 - 14

    -6 - 14 = - 20:

    -5 x = - 20

    Divide both sides of - 5 x = - 20 by - 5:

    (-5 x) / (-5) = (-20) / (-5)

    (-5) / (-5) = 1:

    x = (-20) / (-5)

    The gcd of - 20 and - 5 is - 5, so (-20) / (-5) = (-5*4) / (-5*1) = (-5) / (-5) * 4 = 4:

    Answer: x = 4
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