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2kx=e^{x}
Swap sides so that all variable terms are on the left hand side.
2xk=e^{x}
The equation is in standard form.
\frac{2xk}{2x}=\frac{e^{x}}{2x}
Divide both sides by 2x.
k=\frac{e^{x}}{2x}
Dividing by 2x undoes the multiplication by 2x.