Answer
$3x+6$
Work Step by Step
An even integer has a value of exactly 2 less than its next consecutive even integer. And each following consecutive even integer will be exactly 2 more in value than the previous even integer.
$x+(x+2)+(x+2+2)=(x+x+x)+(2+2+2)=3x+6$
Answer check: x=2
$2+4+6=3x+6=3\times2+6=12$