Find three consecutive integers

Find three consecutive integers, such that twice the first added to the last is 23.

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x = first integer
x + 1 = second integer  {consecutive integers increase by 1 from number to number}
x + 2 = 3rd integer 

2x + x + 2 = 23   {twice the first added to the last is 23}
3x + 2 = 23   {combined like terms}
3x = 21   {subtracted 2 from each side}
x = 7   {divided each side by 3}
x + 1 = 8   {substituted 7 for x}
x + 2 = 9   {substituted 7 for x} 

7,8, and 9 are the three consecutive integers

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