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Math Help - Multi Step Equation

  1. #1
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    Multi Step Equation

    15 + 3 6 x = 24

    I know the answer is 2, but i can't for the life of me show the work for my teacher. I subtract 15 from both sides and get

    36x= 9

    then I have tried multiplying 3 6 to get 18 x = 9

    of course when you multiply the the 18 of to the 9 x does not equal 2.

    What am i doing wrong in my work. Looking at the problem i know i need to get x to equal 2. I just can't figure out how.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by Jman115 View Post
    15 + 3 6 x = 24

    I know the answer is 2, but i can't for the life of me show the work for my teacher. I subtract 15 from both sides and get

    36x= 9

    then I have tried multiplying 3 6 to get 18 x = 9

    of course when you multiply the the 18 of to the 9 x does not equal 2.

    What am i doing wrong in my work. Looking at the problem i know i need to get x to equal 2. I just can't figure out how.
    15 + 3 \cdot 6 \div x = 24

    Everything is ok down to 18 \div x=9

    This is going to look a lot better if we change from arithmetic notation to a more algebraic approach. Consider:

    \frac{18}{x}=9

    Multiply both sides of the equation by x.

    18=9x

    Divide both sides of the equation by 9.

    2=x \Rightarrow x=2
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