This article explains how to move messages between inbox tabs in Gmail, including Social, Promotions, Updates, and Forums. Most of the time, Gmail's filtering is accurate, but sometimes you find an important message hiding under the wrong tab.
How to move emails between the automatically sorted inbox tabs in Gmail
To move a message to another tab in your Gmail inbox and set a rule for future emails from the sender:
In your Inbox, click and hold the message you want to move. You can move more than one message at a time by checking the box for each message you want to move before clicking a message.
Drag the messages to the tab where you want them to appear.