How many times is each basic property of associative commutative and distributive used to evaluate the expression 23 + 5x + 7y - x - 5 - 27 respectively

This is a goofy question, because the method of counting is not very well defined.

23 + 5x + 7y - x - 5 - 27

Let's make everything an addition because addition  is associative but subtraction isn't.

= 23 + 5x + 7y + -x + -5 + -27

OK, let's commute a few things

=  5x + 7y + -x + -5 + -27 + 23

=  5x + -x + 7y + -5 + -27 + 23

That's two commutations.

=  (5x + -x) + 7y + ((-5 + -27) + 23)

I'll count that as three associations

=  (5 + -1)x + 7y + -9

That's a distributive law (in reverse which is fine)

= 4x + 7y - 9

Tallying that's associative law 3 times, commutative law 2 times, distributive law 1 time.

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7