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7 January, 08:25

Solve the absolute value equation 8 = |5-x|

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Answers (1)
  1. 7 January, 11:36
    0
    Hello there!

    8 = |5 - x|

    Let's start by flipping the equation

    |-x + 5| = 8

    Now we need to solve for the absolute value

    We know either - x + 5 = 8 or - x + 5 = - 8

    Let's solve the first part

    -x + 5 = 8

    -x = 8 - 5

    -x = 3

    We can't leave the variable with a negative sign, we can divide both sides by - 1 or we can multiply both sides by - 1

    Multiply both sides by - 1

    -x * - 1 = 3 * - 1

    x = - 3

    Now let's solve the second possibilities

    -x + 5 = - 8

    -x = - 8 - 5

    -x = - 13

    Multiply both sides by - 1

    -x * - 1 = - 13 * - 1

    x = 13

    Thus,

    The answer is: x = - 3 or x=13

    Good luck!
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