# How do you simplify 10 + 2(4x + 3)?

Mar 3, 2018

Distribute and combine like terms to get $8 x + 16$

#### Explanation:

First, let's distribute the $2$ to the terms in parenthesis. In this step, we are just multiplying. We get:

$10 + 8 x + 6$

We can further combine like terms (constants with constants, variables with variables) to get:

$8 x + 16$

This would be the simplified version of $10 + 2 \left(4 x + 3\right)$

BONUS: Alternatively, we can factor $8 x + 16$. We are essentially finding a common factor that both of the terms have in common. We can factor an $8$ out of both terms (which is the same as dividing by $8$). We get:

$8 \left(x + 2\right)$

This is the factored version of $8 x + 16$