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

Yes, the equations are equivalent by the Distributive Property.

Step-by-step 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`