I think you should look in to what chatarpatar said and research if out of state violation will get you points in Texas.

We were recently travelling through New jersey and got a speeding ticket.Obviously it was a big deal coz it would get you 4 points. However, after some research we found out that if you have a license from New York then any out of state speeding violation will not get you any points.
Since, we wouldn't be getting any points, my roommate just paid the fine for speeding.

If you won't get any points just admit it and pay the fine.