In Senate races other than the hotly contested District 10, Kelly Hancock was on his way to beating two opponents Tuesday night in the quest for state Senate District 9, earning 63 percent of votes with 18 percent of Tarrant County precincts reporting.Democrat Pete Martinez had 34 percent and Libertarian Dave "Mac" McElwee 3 percent. The district also includes a sliver of Dallas County, but no results were posted by 9:45 p.m.Hancock was poised to replace state Sen. Chris Harris, R-Arlington, who represented District 9 for two decades but didn't seek another term after boundaries were redrawn. The district now includes Arlington, Fort Worth and eight Northeast Tarrant County cities."It's a large Senate district, but the most important thing is being able to listen to people and relate," Hancock said, explaining that he felt no single issue put him over the top. "For people in the district, they want to feel like they can get behind you and have your support."Hancock lives in North Richland Hills and owns a small chemical company. He served in the House five years, filing bills favoring mandatory sonograms before abortions, limiting state spending and assisting charter schools.Martinez lives in Hurst and is an Arlington firefighter. He hoped to generate ample support from young voters.McElwee is a retired teacher and Navy veteran from Arlington.Other Tarrant County Senate races:Senate District 12 - Incumbent Republican Jane Nelson of Flower Mound was easily winning re-election, with 85 percent of the vote compared with 15 percent for Libertarian John A. Betz Jr., with 34 percent of precincts counted. No Democrat filed for the office.The former teacher and businesswoman has served in the Senate since 1993. Her district includes part of Denton County and the Tarrant County cities of Grapevine, Haslet, Saginaw, Westworth Village, Westover Hills, White Settlement and Azle.Betz, who lives in Fort Worth, is a Domino's Pizza deliveryman.Senate District 22 - Republican state Sen. Brian Birdwell of Granbury was winning, with 86 percent of the vote, compared with 14 percent for Libertarian Tom Kilbride of Waco, with 49 percent of precincts reporting. The Democratic candidate withdrew.The district now barely touches Tarrant County, taking in parts of Grand Prairie, Arlington and Mansfield, and stretching west to Hood County and south to Falls County.Birdwell is a retired Army lieutenant colonel. He was severely burned at the 9-11 Pentagon attack.Kilbride is a McLennan Community College teacher.