Question 508187
Let
1st  Integer = x
2nd   Integer = x+1
3rd   Integer = x+2
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2(x)+3(x+2)=14+4(x+1)
2x+3x+6=14+4x+4
5x+6=4x+18
5x-4x=18-6
x=12
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1st  Integer = x = 12
2nd   Integer = x+1 = 12+1 = 13
3rd   Integer = x+2 = 12+2 = 14
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Check
2(x)+3(x+2)=14+4(x+1)
2(12)+3(14)=14+4(13)
24+42=14+52
66=66