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12 May, 04:28

How do you solve for x in this equation: 1 - x = 16 - 4x

+5
Answers (2)
  1. 12 May, 07:36
    0
    x = 5

    Step-by-step explanation:

    Solve for x:

    1 - x = 16 - 4 x

    Add 4 x to both sides:

    4 x - x + 1 = (4 x - 4 x) + 16

    4 x - 4 x = 0:

    4 x - x + 1 = 16

    4 x - x = 3 x:

    3 x + 1 = 16

    Subtract 1 from both sides:

    3 x + (1 - 1) = 16 - 1

    1 - 1 = 0:

    3 x = 16 - 1

    16 - 1 = 15:

    3 x = 15

    Divide both sides of 3 x = 15 by 3:

    (3 x) / 3 = 15/3

    3/3 = 1:

    x = 15/3

    The gcd of 15 and 3 is 3, so 15/3 = (3*5) / (3*1) = 3/3*5 = 5:

    Answer: x = 5
  2. 12 May, 08:03
    0
    x=5

    Step-by-step explanation:

    1-x=16-4x

    1-x - (-4x) = 16

    1-x+4x=16

    1+3x=16

    3x=16-1

    3x=15

    x=15/3

    x=5
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