A dictionary of Confusable Phrases: More Than 10,000 Idioms and Collocations

enter into something • enter something
enter into something —
1
. come into smth.; penetrate smth.:
The bullet entered into his head at a distance that was longer
than his arms, so he couldn’t have shot himself. 2. become a
member of an organization; join an institution: When I en-
tered into college, it was with the idea to have a career in med-
icine. 3. participate in smth.; be a party to a contract, etc.:
The United States was urged by different countries to enter
into negotiations on naval arms control. 4. deal with smth.;
consider smth. thoroughly: The reader can have an overall
view of problems and then decide if he wants to enter into de-
end it all
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tails. 5. be an important consideration or factor in smth.: He
would have to work hard to perfect his art — money doesn’t
enter into it because almost no artists are rich.
enter something—
1
. = enter into something 
1
: The exit wound
from a bullet is always larger than the hole where the bullet
entered the body. 2. = enter into something 2: On a personal
level, I entered college to not only earn a degree, but to find
out about myself. 3. = enter into something 3: The defendant’s
position is that he never knowingly entered the conspiracy
charged in the indictment.
equal to something • equal with something
equal to something —
1
. (of things) equal to another thing in
price, quality, etc.: A table-tennis ball is roughly equal in size
to a golf ball. 2. having the power or ability to do smth.: After
our long cooping-up on shipboard we were not equal to any
exertion.
equal with something — = equal to something 
1
: The Earth is
very tiny, compared with sunspots. Our planet is equal in size
with a modest sunspot.