SOLUTION: Use only one variable. Find three consecutive integers such that three times the sum of the first and third integer is nine less than five times the second integer. Thanks

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Question 83957: Use only one variable. Find three consecutive integers such that three times the sum of the first and third integer is nine less than five times the second integer. Thanks
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
x+(x+1)+(x+2) are the three numbers.
3[x+(x+2)]=5(x+1)-9
3[2x+2]=5x+5-9
6x+6=5x-4
6x-5x=-4-6
x=-10 answer for the first interger.
-10+1=-9 for the second & -10+2=-8 for the third interger.
proof
3(-10-8)=5*-9-9
3*-18=-45-9
-54=-54