Having problems removing bolts from brake caliper bracket?

Ok i have managed to get the calipers off which was a little hard considering the rust but i did it and went to remove the bracket and was able to remove the top bolt but the bottom one just doesn't want to give. My wife keeps suggesting that the bottom bolt is a different thread and that i need to turn it the opposite direction of the top one but to me that doesn't make any sense having two different threads. I'm not a great maechanic but i have changed a fair amount of brakes but this set on my 00' Hyundai Tiburon is giving me problems. This is the first "foreign" car that i've done the brakes on and am thinking " am i doing something wrong"? I know people will say take it to a shop but i can do the job no prob it's just that one bolt giving me a hard time.