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2ax=0+e^{x}
Add e^{x} to both sides.
2ax=e^{x}
Anything plus zero gives itself.
2xa=e^{x}
The equation is in standard form.
\frac{2xa}{2x}=\frac{e^{x}}{2x}
Divide both sides by 2x.
a=\frac{e^{x}}{2x}
Dividing by 2x undoes the multiplication by 2x.