[RESOLVED] Exponential question

[krtxmrtz]

Solve e^(x-1) = 9 - 18e^(1-x)

I have no idea on how to do this...Please help.

Hint 1:
e^{(1 - x)} = 1 / e^{(x - 1)}

Hint 2:
Call e.g. y = e^{(x - 1)}, work all the way with y and once you've found the answer for y calculate x.