book Maths Puzzle Numerical Ability

Seven more than the sum of the largest and smalledst of three consecutive even integers is one less than three times the middle number. Find the middle number. How do i do this?

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I hope this works. I've tried dozens, adn all of them say its simple but dont give me an explanation, A SIMPLE ONE. I would like to know what is the method to solve an equation wh the difference of the squares of two consecutive integers is 21. find the itegers.