Question

Is the equation 3(2 x-4)=-18 equivalent to 6 x-12=-18 ?Yes, the equations are equivalent by the Associative PropertyYes, the equations are equivalent by the Commutative ProperYes, the equations are equivalent by the Distributive Property.No, the equations are not equivalent.

Answer 1

Answer:

Yes, the equations are equivalent by the Distributive Property.

Explanation:

Given the equation:

$3(2x-4)=-18$

Opening the bracket on the left-hand side, we have::

$\begin{gathered} 3(2x-4)=-18 \\ \implies6x-12=-18 \end{gathered}$

Therefore, we conclude that the equation 3(2x-4)= -18 equivalent to 6x-12=-18 by the Distributive Property.

Recall: By the distributive property:

$a(b+c)=ab+ac$