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Math Help - Need help solving for x in fairly simple equation

  1. #1
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    Need help solving for x in fairly simple equation

    I know what the value for "x" is in the following equation but I can't remember the steps for solving (which I'm sure are embarrassingly simple):

    12,847,080 = 1418 * 4 * [x + (x * .0461894)]

    Any help is appreciated...thank you!
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Need help solving for x in fairly simple equation

    I would first divide through by 4\cdot1418 to get:

    2265=x+0.0461894x=1.0461894x

    Now divide through by 1.0461894 to get:

    x\approx2165

    I suspect you have changed the original equation and used a decimal approximation for a fraction. Did you replace 20/433 with 0.0461894?
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  3. #3
    Junior Member Barioth's Avatar
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    Re: Need help solving for x in fairly simple equation

    12,847,080 = 1418 * 4 * [x + (x * .0461894)]

    divide both side by 1418*4 , you end up with
    2 265=[x + (x * .0461894)]

    calculate X+(X*0.46...)=1.46...

    you end up with

    2 265=x*1.46...
    Divide both side by 1.046..
    you end up with x=2369 ish!

    and keep in mind that there are no simple problem.
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  4. #4
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    Re: Need help solving for x in fairly simple equation

    Yes, I changed the fraction to a decimal. I could feel the solution teasing the edge of my brain but couldn't grab it. Thank you!!
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