Would that be the case even though it was fine in the same soil at home?

All of the above possible, and yes even if it was in the same soil - problems sometimes don't show up immediately; also, it could have had better light? or was watered less? - so 'decline' likely started then but slowly.

Do you know the name of it?

I don't...all it said when I bought it was "succulent." It does have less light than before, and originally I thought this was a water issue so I have watered it more.

Not sure what it is, it could be one of the hardy succulents.

Can you give it more light?

How often do you water it? Succulents don't like too much water; and depending on soil it is in, it may be sitting in a 'muck'. They are better underwatered than overwatered.

I can try to, but my room is pretty dark most of the time...

At home I would water it once every couple days to a week. I think I've done every couple days here.

It takes even longer for soil to dry up in low light, so you are doing just opposite. I keep succulents outdoors, in full sunlight, and do not water that often. You may want to consider using some supplemental lighting if that is possible. If not, getting a plant that will grow well in low light may be the best.

Too much water it is not good for succulents.

Could be too much water and not enough light. Is it double potted? When you water does the pot sit in the drained water in that saucer?

So searching around to help ID my own mystery plant, I found this....reminds me of your plant.

Could it be?

sedum jurgensenii

hookilau

good detective work! That is interesting looking plant, but branching is very different from OP...judging from the photos only, not familiar with the plant.

I have this photo of one of my hardy trailing sedums, branching is similar to OP (photo isn't the best...hope you can see what I am trying to point out) :

I think that is it! Thanks!

I am trying to move it closer to a window and water it less. Thanks for everyone's help!

Lol Thanks Rina =)

bad: Glad I can help. It's hard to tell because of the state it's in now, looks very different from pic I linked, but was hoping you'd recognize it, as you've seen it before it's decline.

Pay close attention to the shape of the little leaves.

I'd say it's at LEAST a sedum =)

And, pay attention to the flowers of plant hooki found...sometimes, plant could be ID-ed by flowers only...(btw, the leaves on the Sedum jurgensenii looks almost triangular and fatter to me, not needle like - but could be optical illusion...)

Lol!! Yes, i couldn't think of how to describe. Thought of a propeller at first, but then just gave up :)