Is there a closed form solution to $e^{-x/b}(a+x) = e^{x/b}(a-x)$? I have the following equation
$$e^{-x/b}(a+x) = e^{x/b}(a-x)$$
where $b > 0$, and $a > 0$
I need to solve for $x$. I can do it numerically, but would prefer if there was a closed form solution.
It seems to me that there likely is no closed form solution, but thought I'd ask the experts here, just in case.


Is there a closed form solution to this equation ?

No. Not even one in terms of Lambert's W function.
