The sum of three consecutive even integers is -78, what are the integers ? how would i describe the use of strategy of writing an equation to solve the given problem ?

First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
 1. You have that the sum of three consecutive even integers is , therefore, you can given the variable  to the first integer, the second even integer is  and the third one is .
 2. Calculate x:
 
 
 
 
 
 Therefore, the answer is: