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

Question

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

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Amaya 1 week 2021-09-09T11:04:51+00:00 2 Answers 0

Answers ( )

    0
    2021-09-09T11:05:51+00:00

    Answer:

    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

    0
    2021-09-09T11:06:34+00:00

    Answer:

    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

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