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Is there a way to get the value of $x$ from

$Ax - B \frac{e^{-x}}{1+e^{-x}} = C$

where A, B and C are constants?

user5054
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    What did you try? Do you have any idea? – Iuli Sep 07 '17 at 07:25
  • I am not a mathematician and I am not familiar to that type of equations, so I don't really have any idea. More context: This equation came up when I took the derivative of the log-likelihood function of a machine learning model and set it to 0. I need to solve this equation to get the update rule for $x$, which is a latent variable of the system. The reason why I have both $x$ and exponential of $x$ in this equation is because there are both Gaussian variables and Bernoulli variables in the machine learning model. – user5054 Sep 07 '17 at 07:32
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    In general, such equations can only be solved numerically using, for example, Newton's Method. – Gerry Myerson Sep 07 '17 at 07:45

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