Eden Hazard had given the visitors the lead at Anfield with a fine solo effort, and that looked like being enough to hand the dethroned champions all three points.
However, an error from Asmir Begovic in stoppage time put the ball on a plate for Benteke, who couldn't miss at the back post.
Find out how all of the action unfolded courtesy of Sports Mole's live minute-by-minute coverage below.
LIVERPOOL STARTING XI: Mignolet; Clyne, Toure, Lovren, Moreno; Can, Milner, Lallana, Coutinho, Firmino; Sturridge
Subs: Bogdan, Skrtel, Smith, Lucas, Allen, Ojo, Benteke
CHELSEA STARTING XI: Begovic; Azpilicueta, Mikel, Cahill, Baba Rahman; Fabregas, Matic; Pedro, Willian, Hazard; Traore
Subs: Amelia, Tomori, Kenedy, Loftus-Cheek, Palmer, Pato, Abraham