3 consecutive integers
you messed up on first step
you got the x, x+1, x+2 part right
then you did this: 3x+1=438
you should have done: 3x+3=438
then minus 3
3x=435
divide by 3
x=145
then
x+1=146
x+2=147
numbers are 145,146,147
to check, you could have found the numbers and seen if they added to 438
