The solution to this problem is as follows:
1. Assign your variables.
Let X = first integer
X+2 = second integer
X+4 = third integer
*note: multiples of 2 are added because the problem states that they are consecutive even integers.
2. Formulate the equation
4X = 6 + 2(X+4)
X=7
3. Solve other variables
first integer = 7
second integer = 7+2 = 9
third integer = 7+4 = 11
As you can see, the answers are all odd which means that the given information in the problem should say odd, not even.