Hello! it is actually not as hard as you think!
Fe(OH)3 ---> Fe2O3 + H2O
Balance Iron first
2Fe(OH)3 ---> Fe2O3 + H2O
Balance the remaining hydrogen and oxygen with the water,(look at how many MORE oxygen atoms you need and add the integer to the water)
2Fe(OH)3 ---> Fe2O3 + ?H2O
hope this helps some..