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March 29, 2017

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Solve each equation: Thank you

5-x over 3 minus x-2 over 4 = 5/12

  • Math - ,

    5-x over 3 minus x-2 over 4 = 5/12
    Is this what you meant?
    (5-x/3)-(x-2/4)=5/12
    Multiply everything by 12.
    12(5-x/3)-12(x-2/4)=12(5/12)
    remove parentheses
    20-4x-3x+6=5
    combine terms
    26-7x=5
    -7x=5-26
    -7x=-21
    multiply by -1
    7x=21
    divide both sides by 7
    7x/7 = 21/7
    x=3
    CHECK IT:
    (5-x/3)-(x-2/4)=5/12
    (5-3/3)-(3-2/4) = 5/12
    (2/3)-(1/4) = 5/12
    common denominator is 12.
    (8/12)-(3/12) = 5/12
    (8-3/12) = 5/12
    5/12 = 5/12
    done.

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