Question

Use the distributive property to write an equivalent variable expression. (Lesson 2.2)

$\mathbf{-}\mathbf{9}\mathbf{(}\mathbf{2}\mathbf{x}\mathbf{+}\mathbf{12}\mathbf{)}$

Short answer

The equivalent expression for $-9(2x+12)$ is $-18x-108$.

Step-by-step solution

.  Recall the distributive property

The distributive property is given as, $a(b+c)=ab+ac$.

.  Simplify the expression

Now, use distributive property to simplify the given expression.

$\begin{array}{l}-9(2x+12)\\ =-9\left(2x\right)+(-9)\left(12\right)\text{}\left[\text{Distributiveproperty.}\right]\text{}\\ =-18x+(-108)\text{}\left[\text{Multiply.}\right]\text{}\\ \text{=}-18x-108\text{}\left[\text{Definitionofsubstraction.}\right]\text{}\end{array}$

. Conclusion 

The equivalent expression for$-9(2x+12)$ is $-18x-108$.