on the other hand
on the other hand {adv. phr.}
Looking at the other side; from another point of view. — Used to introduce an opposite or different fact or idea.
Jim wanted to go to the movies; his wife, on the other hand, wanted to stay home and read.
Mr. Harris may still want a boy to mow his lawn; on the other hand, he may have found someone to do it.
Compare: ON ONE HAND.
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Source: A Dictionary of American Idioms