SOLUTION: "Find the three consecutive integers such that 2 times the sum of the first two is 1 less than 3 times the third"

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Question 909105: "Find the three consecutive integers such that 2 times the sum of the first two is 1 less than 3 times the third"
Answer by clearblueskai(22) About Me  (Show Source):
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"Find the three consecutive integers such that 2 times the sum of the first two is 1 less than 3 times the third"
x = 1st integer
x+1= 2nd integer
x+2 = 3rd integer
2 times the sum of the first two is 1 less than 3 times the third:
2(x+x+1)= 3(x+2)-1
2x+2x+2 = 3x+6-1
4x+2 = 3x+5
x=3
first integer: 3
second integer: 4
third integer: 5