SOLUTION: Please show me how to solve this: (1/e)^-x=(1/e^2)^x+1

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Question 848002: Please show me how to solve this:
(1/e)^-x=(1/e^2)^x+1

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
%281%2Fe%29%5E%28-x%29=%281%2Fe%5E2%29%5E%28x%2B1%29
%28e%5E%28-1%29%29%5E%28-x%29=%28e%5E%28-2%29%29%5E%28x%2B1%29
e%5Ex+=e%5E%28-2x%2B-2%29
x = -2x-2
3x = -2
x = -2/3