Jonathan Bernier made 32 saves for the defending Stanley Cup champions, who tied it with 9:34 left on Jeff Carter's goal during a two-man advantage. King then made a spinning pass from the boards in front to Kopitar, who beat Jimmy Howard for his sixth goal of the season.
Howard stopped 27 shots for the Red Wings, who had won two straight after an 0-3-2 skid.
Kyle Quincey scored his first goal of the season on a misplay by Bernier in the first period.
When we started our journey we made a commitment to our fans to be relevant and to see the Chicago Blackhawks become the best professional hockey organization. There are not two finer symbols of that than Jonathan Toews and Patrick Kane. The commitment we have made to these incredible young men is equal to the commitment they have made to our team, our fans, our entire organization and the city of Chicago.
— Chicago Blackhawks owner Rocky Wirtz on signing Jonathan Toews and Patrick Kane to contract extensions