The Longhorns (7-2) used hot three-point shooting to take a 39-24 lead into the halftime break, then ground out the big margin in the second half by pounding the Bobcats (2-7) on the boards and down low.
Typically a man-to-man team, the Bobcats opened the game with a sagging zone — the same kind that has given the Longhorns trouble this year — grabbing an early 10-9 lead despite a pair of mid-range jumpers and a dunk from Gary Johnson.
But that's where the similarities to earlier struggles ended. J'Covan Brown hit back to back threes, Jai Lucas rolled in a floater and Cory Joseph hit his second three of the game as Texas built a 20-12 lead. After Texas State hit a pair of threes of their own, the Longhorns closed the half on a 19-6 run, largely on the back of two more Johnson jumpers, a three pointer from both Brown and Jordan Hamilton and a three-point play by Tristan Thompson.
Texas might have led by 15, but the Longhorns' lack of aggression on the offensive end showed on the stat sheet, as Texas attempted just three first-half free throws. Texas made its hay from the three-point line, hitting 6-11 first half attempts from behind the arc, while the Longhorns shot just 10-23 inside the arc.
That hot shooting continued in the second half, as Texas hit 5-8 treys in the second stanza. But with that range came a renewed aggressiveness. Texas attempted 27 free throws — making 19 — in the second half as they pushed the ball inside.
Meanwhile the Bobcats enjoyed a nice scoring second half, shooting 61.5 percent from the field and scoring 41 points, but never got closer than 42-31 early. Texas shot 57.6 percent itself in the half, and used the gaping free throw advantage to put up 62 points of their own.
Joseph scored a career high 19 points on 7-11 (5-8 from three) shooting, despite playing much of the night at the point. Brown was right behind with 18, while Hamilton scored 16 and led the 'Horns in rebounds (10) and assists (5). Johnson and Thompson each had 14 points and nine rebounds.
The Longhorns dominated on the glass, grabbing 43 rebounds to the Bobcats' 25. Nineteen of Texas's boards came on the offensive end, where Texas actually out-rebounded the Bobcats' defensive rebounders 19-16.
Tony Bishop and Cameron Johnson each scored 12 points for Texas State. Bishop added eight rebounds.
The win moved the Longhorns' non-conference home winning streak to 24 games. The last time Texas lost a non-conference game at home was Dec. 29, 2007, when the Longhorns fell to Wisconsin 67-66. Texas will get another chance to defend that streak on Tuesday when North Florida comes to visit. That will represent the team's last home game until Dec. 31.