positive plus positive is a positive, but negative plus negative is positive. all your other info is correct =)
pos+pos=pos
neg=neg=neg
pos-pos=pos or neg if the first neg is bigger than the second one, it is negetive, if the second one is bigger than the first, it's positive
neg-neg=same thing, pos or neg if the first neg is bigger than the second one, it is negetive, if the second one is bigger than the first, it's positive
neg+pos=whatever number is largers sign
trust me I am in 7th grade pre-algebra and work with this stuff every day. Think of the neg=neg thing this way.
+=two -'s. Look at a plus sign. You can make one out of 2 negetive signs, see. - and a - sideways would make a +