# How do you simplify 2(x+3)?

Jun 10, 2016

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

#### Explanation:

Assuming we work in an algebraic field like the real numbers, we may apply the left distributive property of multiplication over addition :

$a \left(b + c\right) = a b + a c$

Hence $2 \left(x + 3\right) = 2 \cdot x + 2 \cdot 3$

$= 2 x + 6$