x-first integer
x+1-second integer
x+2-third integer
x+3-fourth integer
x+4-fifth integer
x+x+1+x+2+x+3+x+4=0
5x+10=0
5x=-10
x=-2
The first number is -2, the second number is -1, the third number is 0, the fourth number is 1, and the fifth number is 2
Hope this helps =)