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Math Help - Need help with step by step simplification

  1. #1
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    Need help with step by step simplification

    Hey, I'm new on this forum.

    Just started a college math course this semester and I realized I was VERY rusty since I havent done math in the last 4 years.

    Working on what should be ''easy'' problems before the real thing starts and I seem to be stuck on that. If any of you could help me out with a step by step simplification.

    4+3(5x-(x-3)

    I'm probably only missing a small thing and can't get the the correct answer which should be 12x-5.

    Thanks in advance!
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  2. #2
    Senior Member sakonpure6's Avatar
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    Re: Need help with step by step simplification

    Woops sorry for double post
    Last edited by sakonpure6; January 27th 2014 at 10:57 AM.
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  3. #3
    Senior Member sakonpure6's Avatar
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    Re: Need help with step by step simplification

    I would like to remind you of BEDMAS which list the importance of in order of operations BracketsExponentsDivisionMultiplicanAdditionSubtraction. However Multiplication/Division and Addition/Subtraction are interchangeable in BEDMAS, meaning that you can do division first or multiplication.

    4+3(5x-(x-3)) first we do what is in the brackets, expand out -(x-3) by multiplying each term by -1.
    =4+3(5x-x+3) collect like terms inside the brakcets
    =4+3(4x+3)) Do the multiplication, 3(4x+3) by multiplying 3 by each term.
    =4+12x+9 Collect like terms
    =12x+13
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