The first integer = x
The second integer = x + 1
The third integer = x + 2
The fourth integer = x + 3
The fifth integer = x + 4
Since they all add up to 5, let's set them equal to 5
x + x + 1 + x + 2 + x + 3 + x + 4 = 5
Combine like terms
5x + 10 = 5
Subtract 10 from both sides
5x = -5
Divide each side by 5
x = -1
The first integer = x = -1
The second integer = x + 1 = -1 + 1 = 0
The third integer = x + 2 = -1 + 2 = 1
The fourth integer = x + 3 = -1 + 3 = 2
The fifth integer = x + 4 = -1 + 4 = 3
We can check this by adding all the integers together and making sure we get 5
3 + 2 + 1 + 0 - 1 = 5
