Solve 4 Variable Equation: a,b,c & x

[Biaqua]

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!

 

[micromass]

First, add up c*x to both sides of the equation. Then isolate x from the left side.

 

[Biaqua]

Thanks, but I already got to that point. The thing is that I don't know how to solve the (x/1000) part.

 

[acabus]

Thanks, but I already got to that point. The thing is that I don't know how to solve the (x/1000) part.

Multiply both sides by 1000.

 

[dydxforsn]

Just to make it abundantly clear:

$$\frac{a}{1000} x = b - c x$$
$$\frac{a}{1000} x + c x = b$$
$$(\frac{a}{1000} + c) x = b$$
$$x = \frac{b}{\frac{a}{1000} + c}$$
$$x = \frac{1000 b}{a + 1000 c}$$