Confused About Flipping the > < Signs

I was taking a test and I got the problem 4t -3 > 37t -50 

I was taught to put the variable on opposite sides from the numbers, so combining the variables I got it to look like this: 47 > 33t (because if you bring the -50 over it becomes +50, and so on) 

Then I divided each side by 33 to get t alone. 

My final answer was 47/33 > t

But Khan Academy said the sign should've flipped somewhere in the problem, leaving me with an answer of 47/33 < t 

I just don't understand why the way I was previously taught isn't correct. 

Thanks for your help :)