Stuck on this inequality: 3x + 5

Question

Stuck on this inequality: 3x + 5 < 2x - 8
I am having a hard time with these multi-step inequalities, so an explanation on how you got the answer would be really helpful!

anonymous · Answer

3x+5<2x-8
First, move the numbers to one side. In this case, subtract 5 from both sides.
3x>2x-13
Then, move the variables to the other side. In this case, subtract 2x from both sides. 
x>-13

anonymous · Answer

Ah! I see! Thank you so much. I think I finally get these now!

anonymous · Answer

your welcome.

anonymous · Answer

Real quick, why do you switch the direction of the < ? Like, under what circumstances do you switch the direction it is pointing?

anonymous · Answer

Oh, I'm sorry. The first one is x<-13. You just switch the < if you are multiplying or dividing by a negative.

anonymous · Answer

Ooh! Okay, gotcha. Again, thank you much. :)

anonymous · Answer

your welcome. :)