Question

Rewrite each expression using the Distributive Property. Then simplify.

$\mathbf{2}\left(\mathbf{3}+x\right)$

Short answer

$\mathbf{2}\left(\mathbf{3}+x\right)=\mathbf{6}+\mathbf{2}x$

Step-by-step solution

Step 1. Write distributive property. 

For any numbers a,b and c, $a\left(b+c\right)=ab+ac$.

Step 2. Apply distributive property.

Apply distributive property to the given expression, $2\left(3+x\right)$.

$2\cdot 3+2\cdot x$

Step 3. Simplify.

Simplify the above obtained expression.

$6+2x$

Therefore,$2\left(3+x\right)$ can be written using distributive property as $6+2x$.