Did you mistweet or send a Twitter update that you now want to delete? If you want to remove an update that you posted to Twitter, it’s very easy. Here are instructions.
From Twitter.com
1. From your Twitter.com Home or Profile page, click “updates”
2. Put your cursor over the tweet you want to delete. You will see a trash can icon to the right of the message below the star or favorites icon as shown below.
3. You will receive the following dialog box, click [OK].
From TweetDeck
4. Click Other Actions –> Tweet –> Delete