SOLUTION: Question: "Find the largest of 3 consecutive even integers such that twice the sum of the larger two is 4 less than 5 times the smallest." I just need the equation set up for me so

Question 754467: Question: "Find the largest of 3 consecutive even integers such that twice the sum of the larger two is 4 less than 5 times the smallest." I just need the equation set up for me so I can solve it. I just have no clue on where to start!
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
"Find the largest of 3 consecutive even integers such that twice the sum of the larger two is 4 less than 5 times the smallest." I just need the equation ----
1st: 2x-2
2nd: 2x
3rd: 2x+2
------
Equation:
2[2x+2x+2] = 5[2x-2]-4
==============================
Cheers,
Stan H.
====================
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
"Find the largest of 3 consecutive even integers such that twice the sum of the larger two is 4 less than 5 times the smallest." I just need the equation set up for me so I can solve it.
***
let x=largest of 3 consecutive even numbers
x-2=2nd largest of 3 consecutive even numbers
x-4=smallest of 3 consecutive even numbers
..
twice the sum of the larger two=2(x+x-2)
4 less than 5 times the smallest=5(x-4)-4
..
2(x+x-2)=5(x-4)-4
You can take it from here to solve for x

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