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2a=e^{x}-e^{-x}
Swap sides so that all variable terms are on the left hand side.
2a=-\frac{1}{e^{x}}+e^{x}
The equation is in standard form.
\frac{2a}{2}=\frac{-\frac{1}{e^{x}}+e^{x}}{2}
Divide both sides by 2.
a=\frac{-\frac{1}{e^{x}}+e^{x}}{2}
Dividing by 2 undoes the multiplication by 2.
a=\frac{e^{x}}{2}-\frac{1}{2e^{x}}
Divide e^{x}-\frac{1}{e^{x}} by 2.