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25 December, 00:51

What is the value of x in the equation 3/4 (1/4x+8) - (1/2x+2) = 3/8 (4-x) - 1/4x?

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  1. 25 December, 01:03
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    Answer: x = 24

    Step-by-step explanation:

    3/4 (x/4 + 8) - x/2 + 2 = 3/8 (4-x) - x/4

    3x/16 + 6 - x = 3/2 - 3x/8 - x/4

    collect like term

    3x/16 - x + 3x/8 + x/4 = 3/2 - 6

    3x-16x+6x + 4x / 16 = 3-12 / 2

    -3x/16 = - 9/2

    cross multiply

    -6x = - 144

    Divide bothside by - 6

    -6x/-6 = - 144/6

    x = 24
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