Answer:
-8x - 8 is the only expression equivalent to 16x - 12 - 24x + 4
Explanation:
The easiest way you can do this problem is by substituting any number for x, for all of the expressions. That way you can compare the expressions. Let's choose to use 1 for example. So, x = 1.
If x = 1, you plug 1 in for all the x's. So, 16x - 12 - 24x + 4 would look like
16(1) - 12 - 24(1) + 4 = -16. Now let's see if any of the other expressions would ALSO equal -16 if x = 1.
4 + 16(1) - 12(1 + 2(1)) = 6
40(1) - 16 = 24
16(1) - 24(1) - 4 + 12 = 0
-8(1) - 8 = -16
Therefore, -8x - 8 is the only equivalent expression :)