I am still not so clear with the difference between '.....しないで.....’ and
'....しなくて....' . Could you please explain them for me, and give me some
examples?
CC BY-SA 3.0
2016-10-06T01:13:18.647
39712
2016-10-06T08:14:39.247
2016-10-06T07:59:13.837
6820
15811
question
grammar usage て-form negation
What is the difference between しないで and しなくて?
しないで is an order to not do something. しなくて means "to not do is...".

これをしないで！ don't do that!

これをしなくてもいい。 you don't have to do that.

これをしなくても本当に大丈夫ですか？ is it really ok for you to not do that?

EDIT  
I forgot to mention the following.

しないで can also be used to connect 2 statements in a similar fashion as しなくて but
usually used in slightly different ways. I would say that しなくて tends to be
more of a cause and effect while しないで to connect rather unrelated statements.

朝ごはんを食べないで学校に行きました。  
I didn't eat my breakfast and went to school.

朝ごはんを食べなくて腹が減ってきた。  
I didn't eat breakfast and now I'm hungry.
CC BY-SA 3.0
2016-10-06T01:44:37.770
39714
2016-10-06T03:05:31.907
2016-10-06T03:05:31.907
18142
18142
39712
answer
しなくて because I do not

しないで without I do
CC BY-SA 3.0
2016-10-06T08:14:39.247
39725
2016-10-06T08:14:39.247
13619
39712
answer