How do you expunge a dwi in the state of Texas?

There are two requirements to even try to seek expungement:

• An arrest was made that did not lead to a guilty charge

• A defendant received deferred adjudication and completed community supervision for a class C misdemeanor charge

Beyond this, the process is pretty involved and may take a while without any guaranteed outcome.

Below is an article about dwi expungement.

Another View: The expungmenet rquirements of the various states differ widely. You will have to check the law appropriate to your particular state (which is not given in the question).
Regarding this particular question: Although it MAY be possible to have your criminal action expunged, the record of the offense will continue to exist on your DMV record as a permanent part of your drivers history. Reason being - - if it was allowed to be expunged and you re-offended, the authorities would never be able to determine if it was your first, second, third, or subsequent offense - and charge you accordingly, therefore your DMV record remains permanant.