Here is a simple test. (This is not 100% accurate mathematically, but it is an easy test). Divide your credit card interest rate by 12. (Imagine a credit card with a 12% interest rate. 12%/12 = 1%). In this example, you are paying about 1% interest per month. If the fee on your balance transfer is 3%, you will break even in month 3, and will be saving money thereafter. You can use that simplified math to get a good guide on whether or not you will be saving money.
If you are juggling multiple credit card bills, you may benefit from the convenience of having one consolidated monthly payment. Consider all of the bills that the modern household pays (mortgage/rent, utilities, cell phone, cable, internet, etc.). Adding 5-10 monthly credit card bills can overwhelm your bill-pay. Multiple payments are due every week. Going on vacation or having a hectic few days can result in several late payments and hundreds of dollars in fees.
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