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13 June, 19:25

Solve for x: - 13 = 5 (1 + 4x) - 2x

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  1. 13 June, 19:27
    0
    x = - 1

    Step-by-step explanation:

    Solve for x:

    -13 = 5 (4 x + 1) - 2 x

    5 (4 x + 1) = 20 x + 5:

    -13 = 20 x + 5 - 2 x

    Grouping like terms, 20 x - 2 x + 5 = (-2 x + 20 x) + 5:

    -13 = (-2 x + 20 x) + 5

    20 x - 2 x = 18 x:

    -13 = 18 x + 5

    -13 = 18 x + 5 is equivalent to 18 x + 5 = - 13:

    18 x + 5 = - 13

    Subtract 5 from both sides:

    18 x + (5 - 5) = - 5 - 13

    5 - 5 = 0:

    18 x = - 5 - 13

    -5 - 13 = - 18:

    18 x = - 18

    Divide both sides of 18 x = - 18 by 18:

    (18 x) / 18 = (-18) / 18

    18/18 = 1:

    x = (-18) / 18

    The gcd of - 18 and 18 is 18, so (-18) / 18 = (18 (-1)) / (18*1) = 18/18*-1 = - 1:

    Answer: x = - 1
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