Which sentence explains the correct first step in the solution of this equation? 2(x−4)=12 a. subtract 12 from both sides. b. add 4 to both sides. c. apply the distributive property to get 2x - 8 = 12 d. apply the distributive property to get 2x - 4 = 12

Answer is choice C. We distribute the outer 2 into each of the inner terms (x and -4). Choice D is a trick answer because a lot of the time you might forget to multiply the 2 by the -4 inside the parenthesis (common mistake).

2 times x = 2x
2 times -4 = -8
2 times (x-4) = 2x-8

Side Note: Another path to solve this equation is to divide both sides by 2, then to add 4 to both sides.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

the value of x is equal to 0.