I kind of used both. When I started my debt pay down, I had 3 large balance cards and 3 or 4 little store cards with less than a few hundred each. I realized that if I paid the minimum on the larger cards, I could get the little ones paid off in 5 months. It actually only took 3 months and then I started putting extra on the highest interest of the 3 big ones to save on interest. Paying off the smaller balances helped jumped start my pay down and helped mentally. I cut up those little cards.
Think about your thinking and emotional processes and decide what's best for you.
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