2*e^1x=1

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Solution for 2*e^1x=1 equation: 


Simplifying
2ex = 1

Solving
2ex = 1

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '2x'.
e = 0.5x-1

Simplifying
e = 0.5x-1

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