No. He opposed it, and his LDS church was instrumental, perhaps decisive, in defeating it...
FOR A CRASH course in Mormon political power, consider the important role the LDS Church played in the defeat of the Equal Rights Amendment, which would have guaranteed women equal rights under the law. Passed by the House in 1971 and by the Senate in 1972, the ERA enjoyed widespread national support and seemed destined to succeed. By 1976, 34 states had ratified it; only four more were needed to make it part of the Constitution.
Then the Mormons got involved. In October 1976, the LDS Church’s First Presidency — consisting of the church’s three highest-ranking members — issued a formal statement opposing the ERA: the amendment, the First Presidency warned, might "stifle many God-given feminine instincts" and lead to an uptick in homosexual activity. This denunciation had a near-immediate impact in Idaho, home to a relatively large Mormon electorate. The Idaho legislature had previously given the ERA the requisite two-thirds approval, but this was undone by a January 1977 referendum in which a popular majority opposed the amendment.
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“No. He opposed it, and his LDS church was instrumental, perhaps decisive, in defeating it.”
Again, that does not answer the question. Romney has been on the record for supporting both abortion and gay marriage. Just because he’s mormon doesn’t answer the question?