Consecutive odd integers

What are three consecutive odd integers whose sum is equal to five more than two times the second largest number among the three numbers?

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 x = first
x + 2 = second
x + 4 = third   {odd integers increase by 2 from number to number} 

x + x + 2 + x + 4 = 2(x + 2) + 5   {sum is five more than two times second largest}
3x + 6 = 2x + 4 + 5   {used distributive property and combined like terms}
3x + 6 = 2x + 9   {combined like terms on right side}
x = 3   {subtracted 2x and subtracted 6 from each side}
x + 2 = 5   {substituted 5, in for x, into x + 2}
x + 4 = 7   {substituted 3, in for x, into x + 4} 

3,5, and 7 are the three consecutive odd integers

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