I lived in Georgia for 3.5 months and paid taxes to Georgia and lived in Florida for 6.5 months then Utah for 2 months how do I file all that

[Hal_Al]

You file a part year resident Georgia return and a part year resident Utah return. Florida does not have an income tax, so you do not pay state tax (to either UT or GA) on the income your earned or received while a FL resident.

You will only pay state tax on the income your received while a UT & GA resident.  The state forms may require you to report, all your income for the year. But, then you allocate your income for the time period received; so that you only pay tax on the income received while a resident. 

[TomD8]

Assuming that you're not in the military, and assuming that you literally moved your main home from one state to the other (as opposed to keeping your main home in one state and living temporarily in the others with the intent of returning home), you would file a part-year resident tax return in both Georgia and Utah.  Your earnings as a GA resident are taxable by GA; your earnings as a UT resident are taxable by UT.  FL has no income tax.

ALL your income is of course taxable on your federal return.