[tex]\huge\boxed{x=-8}[/tex]
Since the integers are consecutive, we know that one of them is [tex]x[/tex] and the other is [tex]x+1[/tex]. Start by writing an equation.
[tex]x+x+1=-15[/tex]
Combine the variables.
[tex]2x+1=-15[/tex]
Subtract [tex]1[/tex] on both sides of the equation.
[tex]2x=-16[/tex]
Divide both sides of the equation by [tex]2[/tex].
[tex]x=\boxed{-8}[/tex]