On the first measure you put 4 coin in a plate of the scale and other 4 in the other plate. If one of the plates is heavier then the fake coin is one of this. If not, the heavier coin is in one of the other 4 not measured coins.
Then you put 2 of the coins that may be fake in a plate and the other 2 in the other. The heavier plate has the fake coin.
Finally you put each of the coins in the plate and the heavier one is the fake.
That works!
Want to try to solve the harder version of the puzzle?
https://steemit.com/puzzle/@nafion/puzzle-can-you-figure-out-which-steem-coin-is-fake-part-2-hard