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Math Help - basic solving for x

  1. #1
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    Red face basic solving for x

    problem one:
    ax = bx +c
    the answer is:
    x = c/(a-b)

    problem two:
    ax - b = cx + d
    the answer is:
    x = (d+b)/(a-c)


    I'm pretty lost here, and would appreciate any help.
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  2. #2
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    Re: basic solving for x

    \displaystyle \begin{align*} a\,x &= b\,x + c \\ a\,x - b\,x &= c \\ x\left( a - b \right) &= c \\ x &= \frac{c}{a - b} \end{align*}

    Can you follow a similar process to solve the second one?
    Thanks from sweezy
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  3. #3
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    Re: basic solving for x

    ax - b = cx + d
    ax = cx + (d + b)
    ax - cx = (d + b)
    x (a - c) = (d + b)
    x = (a - c)/(d + b)

    Thank you, it's clear to me now even if it doesn't seem so without the tex tags.
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  4. #4
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    Re: basic solving for x

    Quote Originally Posted by sweezy View Post
    ax - b = cx + d
    ax = cx + (d + b)
    ax - cx = (d + b)
    x (a - c) = (d + b) <--- up to this line evrything is fine, but then .....
    x = (a - c)/(d + b)

    Thank you, it's clear to me now even if it doesn't seem so without the tex tags.
    x (a - c) = (d + b) ........ You now have to divide by (a - c) which yields:

    x = (d + b) / (a - c)
    Thanks from sweezy
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