The first thing you want to do is setup your social connections within the Scribit portal. Then, once you've found an article that you think will be interesting to your followers, you can share that article to Facebook, Twitter, or LinkedIn directly from the Post screen for that article.
When viewing the Post screen for an article, you will see all of your social connections in the "Share" section on the right hand side of the screen. When you share an article, the link that is shared will take people back to your website to view that syndicated content rather than taking them to someone else's website. You can enter an optional comment to be shared with the link, allowing you to provide your thoughts on the article. Simply select the checkbox beside the social channel(s) to which you want to share and then click the "Post" button. You will then see a confirmation indicating that the article was shared and the date and time it was shared will now appear under each of the channels you selected.
Your followers will then see your posts and can also reshare out to their friends and followers, as well. This has the potential for more and more people coming back to your website!
Note that while you can re-share an article to the same social channel from within the Scribit portal, if you want to remove a social posting you will have to go directly to your account (Facebook, Twitter, LinkedIn) to remove your post there.