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Math Help - Simplifying w/ Distributive Property?

  1. #1
    Newbie iLiTH's Avatar
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    Question Simplifying w/ Distributive Property?

    I have this problem:
    6+2[(-8)-3(2x+4)]+10x

    And the problem is just using the distributive property to simplify this expression.

    Here's the steps I've worked to solve this:
    6+2[(-8)-6x+12]+10x
    6+(-16)-12x+24+10x
    6+(-16)+24-12x+10x
    14-22x

    But my answer is apparently wrong. My TI-89 calculator simplifies it out to be 107-2x.

    I just want to double-check the rules for simplifying.
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  2. #2
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    Re: Simplifying w/ Distributive Property?

    Quote Originally Posted by iLiTH View Post
    I have this problem:
    6+2[(-8)-3(2x+4)]+10x

    And the problem is just using the distributive property to simplify this expression.

    Here's the steps I've worked to solve this:
    6+2[(-8)-6x+12]+10x
    6+(-16)-12x+24+10x
    6+(-16)+24-12x+10x
    14-22x

    But my answer is apparently wrong. My TI-89 calculator simplifies it out to be 107-2x.
    6+2[(-8)-3(2x+4)]+10x=6+2[(-8)-6x-12]+10x
    Thanks from topsquark
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  3. #3
    Newbie iLiTH's Avatar
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    Re: Simplifying w/ Distributive Property?

    Quote Originally Posted by Plato View Post
    [(-8)-6x-12]
    Thanks for your quick reply. I just wanted to know why it would be -12, because I see the -3(2x+4) as a positive 3 times the inside terms, because the minus symbol there seems to be just subtraction.
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  4. #4
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    Re: Simplifying w/ Distributive Property?

    Quote Originally Posted by iLiTH View Post
    Thanks for your quick reply. I just wanted to know why it would be -12, because I see the -3(2x+4) as a positive 3 times the inside terms, because the minus symbol there seems to be just subtraction.
    -3(2x+4)=-(6x+12)=-6x-12
    Thanks from topsquark
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