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Math Help - can anyone solve...2(2x-4)=9-2(x+1)

  1. #1
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    can anyone solve...2(2x-4)=9-2(x+1)

    can anyone solve...2(2x-4)=9-2(x+1)

    I keep gettin different answers...can someone show me what im doing wrong? My finals are tommorow!
    Last edited by mr fantastic; March 11th 2009 at 06:59 PM. Reason: Copied thread title into the question
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  2. #2
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    2(2x-4)=9-2(x+1)
    First step is to multiply out both sides to give
    4x-4=9-2x-2
    Now get all the x terms on one side and all the non x terms on the other, so in this case add 4 to both sides (this will remove the non x term from the left) and add 2x to both sides (this will remove the x term from the right) leaving
    4x+2x=9-2+4
    Cleaning this up gives
    6x=11
    and finally divide by 6
    x=\frac{11}{6}
    Hopefully this is one of the answers you got.
    Good luck!
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  3. #3
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    Quote Originally Posted by pfarnall View Post
    <b>2(2x-4)</b>=9-2(x+1)
    First step is to multiply out both sides to give
    4x<b>-4</b>=9-2x-2
    Now get all the x terms on one side and all the non x terms on the other, so in this case add 4 to both sides (this will remove the non x term from the left) and add 2x to both sides (this will remove the x term from the right) leaving
    4x+2x=9-2+4
    Cleaning this up gives
    6x=11
    and finally divide by 6
    x=\frac{11}{6}
    Hopefully this is one of the answers you got.
    Good luck!
    2(2x-4) is not 4x - 4 (little error in first step)
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  4. #4
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    4X-8=9-2x*1?

    2(2x-4)=9-2(x+1) distribute

    2x2=4...2x-4=-8 so lt side is 4X-8
    distribute rt side 2 * X=2X...2x1=1 so rt side is 9-2x*1

    so far ? 4X-8=9-2x*1
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  5. #5
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    Thanks for the help!!!

    Thanks guys, youre all great!!! I have my finals tommorrow and i am a little worried. Thanks for the help...
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  6. #6
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     2(2x-4) = 9-2(x+1)

    Remember BEDMAS
    First Brackets


     4x-8 = 9-2x-2

    Now simplify

    4x-8 = 7-2x

    Now get all the terms with x on one side.

     4x+2x = 7+8

    Collect like terms.

     6x = 15

    Divide both sides by 6 to isolate x.

    x = \frac{15}{6}

    Now simplify the fraction to lowest terms.

     x =\frac{5}{2}
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  7. #7
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    Quote Originally Posted by josh_amsterdam View Post
    2(2x-4) is not 4x - 4 (little error in first step)
    Apologies ... one of those days!
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  8. #8
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    Someone has to be wrong...

    Miller how did you get 15/6...

    I got 11/6 as did a few other people... Can someone tell me which one is right?
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  9. #9
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    Quote Originally Posted by pfarnall View Post
    2(2x-4)=9-2(x+1)
    First step is to multiply out both sides to give
    4x-4=9-2x-2 (forgot to distribute the two into the -4 on the left side)
    Now get all the x terms on one side and all the non x terms on the other, so in this case add 4 to both sides (this will remove the non x term from the left) and add 2x to both sides (this will remove the x term from the right) leaving
    4x+2x=9-2+4 (should be 9-2+8)
    Cleaning this up gives
    6x=11 (6x=15)
    and finally divide by 6
    x=\frac{11}{6} (should be x = \frac{15}{6}, which simplifies down to \frac{5}{2})
    Hopefully this is one of the answers you got.
    Good luck!
    Fixed.
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  10. #10
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    millerst is right... x = 15/6 = 5/2
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