Let the smallest integer be x
Since the numbers are 2 consecutive integers, let the largest integer be x+1
The larger of two integers is 7 greater than twice the smaller.
The equation is
x + 1 = 2x + 7
x - 2x = 7 - 1
-x = 6
x = -6
Since x is the smallest integer, - 6 is the smallest integer
Since x+1 is the largest integer, - 6+1 = -5 is the largest integer
The larger of two integers is 7 greater than twice the smaller.
-5 = 2(-6)+7