My husband resides and has married another woman in TX. What is the penalty for bigamy in TX? And does the second marriage get dissolved? Can I claim financial reimburement for mortage and car payments?
Neither marriage automatically "dissolves". The second could actually become valid if the first marriage ends for some reason - divorce or death of the first wife. It is complicated so I suggest that you consult with an experienced family law attorney in person.
Since bigamy is a crime it is up to the district attorney to file charges against him. It's not up to you to handle this matter.