The steps used by Taylor to solve the equation 3(x - 2) = 6(2x + 1) + 6 are shown below:

3(x - 2) = 6(2x + 1) + 6
x - 2 = 2(2x + 1) + 2
x - 2 = 4x + 2 + 2
x - 2 = 4x + 4
-3x - 2 = 4
-3x = 6
x = -2

Which properties did Taylor use to solve
the equation? Choose all that apply.

A. Distributive property

B. Commutative property

C. Inverse Operation Property

D. Associative property of multiplication

E. The sum of a number and its additive inverse is 0.

F. The product of a number and its multiplicative inverse is 1.

Respuesta :

Both A and C are used within this problem. Distributing happens in the first and second step. Also, Inverse operations are used in nearly every step that is solving.