Most taxes are not dischargeable, but some income taxes are dischargeable. Basically, the IRS gets three years to try to collect from debtors, before debtors may discharge income taxes. If a debtor files a timely tax return, three years after the return(s) were first due, the taxes become dischargeable.
The best thing we can do to determine if your taxes are dischargeable is order a transcript of your taxes from the IRS. Come in, sign a tax transcript request, and we can see what the IRS says about your tax status.