First off, it's only deductible to the extent that your deductions are greater than the standard deduction. In my case my property taxes, mortgage interest, and state taxes are enough which means that my charitable deductions also become deductible.
Second, deductible just means that it lowers your federal tax bill by the percentage that represents your tax rate. For example, if instead of paying a $100 fee per year for trash removal, your town eliminates the fee and increase your property taxes by $100, then your federal tax bill may get lowered a little. I am in the 15% marginal bracket so my tax bill would be $15 less if it is included in my taxes vs. billed as a fee. People in a higher marginal bracket will get a bigger benefit and people in a lower bracket will get less - possible none.
Another Rick