Complete the operation. 3[5 - 2(x + 1)]

Question:

Complete the operation.

{eq}3[5 - 2(x + 1)] {/eq}

Distributive Property:

The distributive property could be explained that the multiplication of a number with the two or more terms in addition will be equal to the sum of the product of each term and the number.

Distributive Property:

{eq}a(x+b)=ax+ab {/eq}.

Answer and Explanation:

{eq}\begin{align*} 3[5 - 2(x + 1)]&=3[5 - (2x + 2)]&\text{[Multiply 2 distributively into the bracket]}\\ &=3[5-2x-2]&\text{[Distribute the negative symbol over the bracket]}\\ &=3[3-2x]&\text{[Simplify]}\\ &=9-6x&\text{[Multiply 3 distributively into the bracket]} \end{align*} {/eq}