Solve for x

Discussion in 'Personal Homework Help' started by Kendra, Apr 3, 2017.

  1. Kendra

    Kendra New Member

    1/3x + 1/2 = 2(3/4x - 5)
     

  2. math_celebrity

    math_celebrity Administrator Staff Member

    Expand the right side:
    1/3x + 1/2 = 6/4x - 10

    Simplify as 6/4 is 3/2
    x/3 + 1/2 = 3x/2 - 10

    Common denominator of 2 and 3 is 6. So we have:
    2x/6 + 1/2 = 9x/6 -10

    Subtract 2x/6 from each side
    7x/6 - 10 = 1/2

    Add 10 to each side. 10 is 20/2
    7x/6 = 21/2

    Using our proportion calculator, we get:
    x = 9
     

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