# How do you simplify the expression 2(x+3)+4(x+4)?

Dec 23, 2016

$6 x + 22$ is the simplified form

#### Explanation:

First use the distributive property to remove the parenthesis

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

$4 \left(x + 4\right) = 4 \times x + 4 \times 4 = 4 x + 16$

$2 x + 6 + 4 x + 16$

Now combine like terms

$2 x + 4 x + 6 + 16$

$= 6 x + 22$