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Math Help - can some one check this for me?

  1. #1
    ADY
    ADY is offline
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    can some one check this for me?

    solving...

    4x = 4-5(x+2)
    Reorder the terms:
    4x = 4 + -5(2 + x)
    4x = 4 + (2 * -5 + x * -5)
    4x = 4 + (-10 + -5x)

    Combine like terms: 4 + -10 = -6
    4x = -6 + -5x

    Solving
    4x = -6 + -5x

    Move all terms containing x to the left, all other terms to the right.

    Add '5x' to each side of the equation.
    4x + 5x = -6 + -5x + 5x

    Combine like terms: 4x + 5x = 9x
    9x = -6 + -5x + 5x

    Combine like terms: -5x + 5x = 0
    9x = -6 + 0
    9x = -6

    Divide each side by '9'.
    x = -0.6666666667

    Simplifying
    x = -0.6666666667I dont think that is right is it?

    I make it x= 2
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  2. #2
    Flow Master
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    Quote Originally Posted by ADY View Post
    solving...

    4x = 4-5(x+2)
    Reorder the terms:
    4x = 4 + -5(2 + x)
    4x = 4 + (2 * -5 + x * -5)
    4x = 4 + (-10 + -5x)

    Combine like terms: 4 + -10 = -6
    4x = -6 + -5x

    Solving
    4x = -6 + -5x

    Move all terms containing x to the left, all other terms to the right.

    Add '5x' to each side of the equation.
    4x + 5x = -6 + -5x + 5x

    Combine like terms: 4x + 5x = 9x
    9x = -6 + -5x + 5x

    Combine like terms: -5x + 5x = 0
    9x = -6 + 0
    9x = -6

    Divide each side by '9'.
    x = -0.6666666667

    Simplifying
    x = -0.6666666667I dont think that is right is it? Mr F says: It IS right, provided you only want a decimal approximation ....

    I make it x= 2 Mr F says: Wrong.
    The correct exact answer is -6/9 = -2/3.
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  3. #3
    MHF Contributor
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    Gee Ady, you're sure doing a lot of typing for this!

    4x = 4-5(x+2)
    Start this way:
    5(x+2) + 4x = 4
    Do the multiplication:
    5x + 10 + 4x = 4
    Move the 10:
    5x + 4x = 4 - 10
    Wrap up:
    9x = -6
    x = -6/9 = -2/3
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