[Whoa!] 0.99999 = 1

I saw this on G4 (formerly Tech TV) a few weeks back. I think the person who showed this was the girl from The Wonderyears. Thought I better jot it down before I forgot:

How 0.999... = 1
Let x = 0.999999
<=> 10x = 9.999999
<=> 10x-x = 9.999999 - 0.999999
<=> 9x = 9.000000
<=> 9x/9 = 9.000000/9
<=> x = 1 (QED)

I mean like ... whoa !! Logic is flawed!!