Kansas Republican Gov. Sam Brownback on Tuesday held back a strong challenge from Democrat Paul Davis to win a second term.

With more than 87 percent of the votes counted, Davis led Brownback 50 percent to 46 percent. Libertarian Keen Umbehr had 4 percent of the vote. Davis has conceded.

"Moments ago, I called Governor Brownback and congratulated him on winning a second term," said Davis, as reported in the Topeka Capital-Journal. "Sam Brownback is a man of conviction, who loves this state dearly. His lifelong dedication to public service is remarkable and I congratulate him again now on his hard-fought victory."

Davis attacked the conservative Brownback on state revenue shortfalls and a budget deficit widely blamed on a series of tax cuts by the incumbent, and many Republicans threw support to the challenger, who is state House minority leader.

But the one-term governor and former senator rallied the state’s strong Republican base in a race that wasn’t expected to be close a year ago.