Find two consecutive odd integers whose sum is -88

The -45, -43.

Explanation:

Let "x" = one of the odd integers.

Let "x + 2" = the other odd integer.

x + (x + 2) = - 88 ;

x + x + 2 = - 88;

2x + 2 = - 88 ;  Now, subtract "2" from EACH side of the equation:

2x + 2 - 2 = - 88 - 2 ; to get:

2x = -90 ; Now, divide EACH side of the equation by "2"; to isolate "x" on one side of the question; and solve for "x"; 

2x/2 = -90/2 ;

x = -45

So one of the integers is -45.  It is an odd number? Yes!

The next consecutive integer is: "(x+2)" ; or, (-45 + 2) = -43. Its it an odd number? Yes!

Are "-45", and "-43" consecutive odd integers? Yes!

The two consecutive integers are: -45 and -43.

To check our work:

Do the sum of our two consecutive integers equal -88?

-45 + (-43) =? -88 ?  Yes!