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Math Help - [SOLVED] Solve for x in this rational function equation

  1. #1
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    Angry [SOLVED] Solve for x in this rational function equation

    After somebody kind person has told me the result of this thing here I can finally start to enjoy my weekend. I've banged my head against the wall with this task for hours and I can't find the anwer.
    Here it comes:

    X + 6 / 3 = 8 - 2(X + 4) / 5


    This one's for you my friend:
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  2. #2
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    Quote Originally Posted by WendyM View Post

    X + 6 / 3 = 8 - 2(X + 4) / 5
    I assume you mean ...

    \frac{x+6}{3} = 8 - \frac{2(x+4)}{5}<br />

    is this correct?

    in the future, use proper grouping symbols to make clear your mathematical equations and expressions.
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  3. #3
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    Quote Originally Posted by WendyM View Post
    ...
    Here it comes:

    X + 6 / 3 = 8 - 2(X + 4) / 5


    ...
    I assume that you mean:

    \dfrac{x+6}3=8-\dfrac{2(x+4)}5

    To get rid of the denominators multiply both sides by 15:

    5(x+6)=8 \cdot 15-6(x+4)

    Expand the brackets and collect all terms containing x at the LHS of the equation, all constants at the RHS:

    5x+30=120-6x-24

    I'll leave the rest for you. (I've got x = 6)
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  4. #4
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    Thanks, but I really need the result too
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  5. #5
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    Quote Originally Posted by WendyM View Post
    Thanks, but I really need the result too
    In my previous post you find this sentence:

    (I've got x = 6)
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