Washing your hair every other day is much better than washing your hair everyday.
When you wash your hair everyday you strip essential oils out of your hair which can dry out your hair if those oils are removed.
Even washing your hair every other day can dry out your hair so it's best to wash your hair no more than 2 to 3 times per week which is sufficient enough.
However if you need to wash your hair more often then 2 to 3 times per week then it's best to use a moisturizing shampoo for washing your hair to keep your hair from drying out.