SOLUTION: Find three consecutive even integers such that twice the sum of the first and third is four more than three times the second. Thank You

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Question 335845: Find three consecutive even integers such that twice the sum of the first and third is four more than three times the second. Thank You
Answer by mananth(12270) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x, x+2, x+4
2(x+x+4)= 3(x+2)+4
2(2x+4)=3x+6+4
4x+8 = 3x +10
add -8 to both sides
4x+8-8=3x+10-8
4x=3x+2
add -3x to both sides
4x-3x=3x-3x+2
x=2
the numbers are 2,4,6