The sum of three consecutive even integers is 36. let x represent the least consecutive integer. i really need ; -; 1.) what equation could be used to find the least consecutive integer? what is the least consecutive integer?

Anytime you have text problem you need to write equation just read text bit by bit and write equation as you are reading text!

It starts with "the sum" which means we are using + to sum some numbers.
Next is "three". which means we are summing some 3 numbers.
Next is" consecutive even integers" for that you need to know if 4 is one number than next consecutive even number is 6 or 4+2.
And all is equal to 36.
which means we write:
x + (x+2) + (x+4) = 36  where x is least of those numbers.

3x + 6 = 36
3x = 30
x = 10.

Least consecutive even integer in this task is 10.