It is not possible to reconcile evolution with a literal reading of the creation story in the Bible. It is not even possible to reconcile a literal reading of the first creation story (Genesis 1:1-2:4a) with a literal reading of the second creation story (2:4b-2:20), although pious readers, believing that the text cannot contain contradictions, ignore the major disjunctions between the two creation stories and tend to treat the second story as the fuller, more detailed account of the creation of man that the first story simply reported.
Therein lies the clue. If millions of Christians can read the two creation stories without an awareness that they say completely different things, we ought to be able to use the same technique to read the Bible without a conscious awareness that this is not what really happened. All it takes is faith.