Tex. Local Government Code § 52.012

(a) Before an ordinance or a bylaw of a Type B general-law municipality may be enforced, the ordinance or bylaw, or a caption that summarizes the purpose of the ordinance or bylaw and the penalty for violating the ordinance or bylaw must be posted in three public places in the municipality or published in a newspaper that is published in the municipality. If no newspaper is published in the municipality, the ordinance, bylaw, or summary may be published in a newspaper with general circulation in the municipality.

(b) Unless the publication is in a weekly newspaper, the governing body must post or publish the ordinance, bylaw, or summary for at least two days. If the publication is in a weekly newspaper, the governing body shall publish the ordinance, bylaw, or summary in one issue.