Answer: 3x + 6 = 72
Step-by-step explanation: Three consecutive even integers can be represented as followed.
X → first integer
X + 2 → second integer
X + 4 → third integer
Since the sum of our three consecutive integer is 72, we can set up an equation to represent this.
X + X + 2 + X + 4 = 72
Now, we can simplify on the left.
3x + 6 = 72
Therefore, 3x + 6 = 72 would be the equation.