In most states (I'm assuming Texas, too), you can't have both a license and ID, just one or the other. That's because you can have a license or ID in another state. That sounds confusing. In practice:

Valid:
Texas ID, and Massachusetts License
Texas License, and Massachusetts ID

Invalid:
Texas ID, and Texas License
Texas License, and Massachusetts License

Note, there's nothing special about Massachusetts. Just used it as an example.