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24 June, 22:19

Solve for X: 2/3 (1/4x-2) = 1/5 (4/3x-1)

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Answers (2)
  1. 24 June, 22:22
    0
    Solve 2/3 (1/4x - 2) = 1/5 (4/3x - 1) for x.

    The first step is the apply the Distributive Property, which is defined as a (b + c) = ab + ac. We'll apply it twice here - once for each side of the equation. Let's start with the left side.

    2/3 (1/4x - 2)

    2/3 (1/4x) + 2/3 (-2)

    2/12x - 4/3

    Now the right side.

    1/5 (4/3x - 1)

    1/5 (4/3x) + 1/5 (-1)

    4/15x - 1/5

    Now the equation is 2/12x - 4/3 = 4/15x - 1/5; let's solve algebraically for x.

    2/12x - 4/3 = 4/15x - 1/5

    2/12x = 4/15x - 1/5 + 4/3

    2/12x - 4/15x = - 1/5 + 4/3

    Make the fractions have common denominators.

    2/12x (5/5) = 10/60x

    -4/15x (4/4) = - 16/60x

    -1/5 (3/3) = - 3/15

    4/3 (5/5) = 20/15

    The equation becomes 10/60x - 16/60x = - 3/15 + 20/15. Continue solving.

    10/60x - 16/60x = - 3/15 + 20/15

    -60/6 (-6/60x) = - 60/6 (17/15)

    x = - 1020/90

    x = - 34/3

    Answer:

    x = - 34/3
  2. 24 June, 22:34
    0
    This is what I got

    X = 15.33
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