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Math Help - Equation problem help please!

  1. #1
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    Equation problem help please!

    Solve for x: 1/2 +3x=1/4+2x-3-1/2

    Please show me how you checked it also, thanks so much
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by betsy View Post
    1/2 +3x=1/4+2x-3-1/2

    Please show me how you checked it also, thanks so much
    \frac{1}{2}+3x=\frac{1}{4}+2x-3-\frac{1}{2}

    First combine the constants on the right side of your equation.

    \frac{1}{2}+3x=2x+\frac{-13}{4}

    Next subtract \frac{1}{2} from both sides.

    3x=2x-\frac{-15}{4}

    Finally, subtract 2x from both sides

    x=\frac{-15}{4}

    To check, simply replace x in your original equation with \frac{-15}{4}.

    \frac{1}{2}+3x=\frac{1}{4}+2x-3-\frac{1}{2}

    \frac{1}{2}+3(\frac{-15}{4})=\frac{1}{4}+2(\frac{-15}{4})-3-\frac{1}{2}

    \frac{1}{2}-\frac{45}{4}=\frac{1}{4}-\frac{30}{4}-3-\frac{1}{2}

    \frac{2}{4}-\frac{45}{4}=\frac{1}{4}-\frac{30}{4}-\frac{12}{4}-\frac{2}{4}

    \frac{-43}{4}=\frac{-43}{4}
    Last edited by masters; June 5th 2008 at 10:08 AM.
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