Five times the greatest of three consecutive even integers is equal to twice the sum of the other two integers plus 42. What are the three integers?

We can represent the three integers with x, x + 2, and x + 4

This shows that the integers ascend in two units at a time, which are consecutive even integers. Next we can just translate the equation straight through.

5 (x+4) = 2 (x + x + 2 + 42)

5x + 20 = 2 (2x + 44)

5x + 20 = 4x + 88

x = 68

The integers are 68, 70, and 72