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4 variable equation

  1. Aug 9, 2012 #1
    For my work, I need to solve the following equation for the variable x (if possible):

    a * (x/1000) = b - x * c

    Can someone please help me solve it or inform me that it is simply not possible. I'm chemist myself, so solving equations is not exactly my expertise.

    Thanks in advance!
  2. jcsd
  3. Aug 9, 2012 #2


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    First, add up c*x to both sides of the equation. Then isolate x from the left side.
    Last edited: Aug 9, 2012
  4. Aug 10, 2012 #3
    Thanks, but I already got to that point. The thing is that I don't know how to solve the (x/1000) part.
  5. Aug 10, 2012 #4
    Multiply both sides by 1000.
  6. Aug 10, 2012 #5
    Just to make it abundantly clear:

    [tex]\frac{a}{1000} x = b - c x[/tex]
    [tex]\frac{a}{1000} x + c x = b[/tex]
    [tex](\frac{a}{1000} + c) x = b[/tex]
    [tex]x = \frac{b}{\frac{a}{1000} + c}[/tex]
    [tex]x = \frac{1000 b}{a + 1000 c}[/tex]
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