You should have turned on warnings, especially when things didn't work as you expected them to.

$ perl -wle'print(print (5+2)+10)'
print (...) interpreted as function at -e line 1.
7
11
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That message means the space between print and the paren isn't significant.

print(5+2) prints 7 and returns a true value (which happens to be 1) on success.

print(1+10) prints 11.

Maybe you want

print( (5+2)+10 )
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Omitting parens around the args of Perl function calls is perilous.