Or airport express (starting from T3 terminal)-Dongzhimen and transfer to Line 2-Xizhimen1Line 3-Wudaokou, and walk for about 10 minutes to Tsinghua East Gate.
Or take the Airport Express (from T3 Terminal)-Dongzhimen and transfer to Wudaokou, 13 line, and walk for about 10 minutes to Tsinghua East Gate (this will almost occupy the whole journey of 13 line, and the time may be longer).
To the West Gate: Airport Express (from T3 Terminal)-Sanyuanqiao Transfer 10 Line-Haidian Huang Zhuang Transfer to Line 4-Yuanmingyuan, and walk about 1 minute to Tsinghua West Gate.
If you are in a hurry, you can take a taxi. You'd better charge by the meter, about 90.
It is not recommended to take the bus. It's very troublesome to be caught in a traffic jam.
There is an airport bus, which can go directly to the library of Chinese Academy of Sciences in the North Fourth Ring Road, and then walk for 20 minutes to the south gate of Tsinghua.