Tex. Bus. Orgs. Code § 152.304
(a) Except as provided by Subsection (b) or Section 152.801(b), all partners are liable jointly and severally for a debt or obligation of the partnership unless otherwise:
(b) A person who is admitted as a partner into an existing partnership does not have personal liability under Subsection (a) for an obligation of the partnership that:
Acts 2003, 78th Leg., ch. 182, Sec. 1, eff. Jan. 1, 2006.