You're going to need to file a part-year resident return for Massachusetts. Since Texas doesn't have a state tax there isn't a credit for taxes paid to another state. Even if your employer corrects your W2 it won't change the fact that they already sent tax money to Massachusetts. You will have to file a return to get any of it back.
You can enter the amounts into your W2 as though it had been corrected. Figure out the portion of your salary that was paid prior to your move and enter that as Massachusetts income along with the full amount withheld.
Then, as a second state, enter Texas and the remaining portion of your salary with nothing withheld. That will help with the non-resident return and will correct the W2 to show it as it should have been. Maintain records to prove all this in case anyone ever asks.
@tapovrat
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