# How do you simplify: -4(x + 2) + 1/2(-2x + 6)?

Nov 15, 2016

$- 5 x - 5$ or $- 5 \left(x + 1\right)$

#### Explanation:

Step 1) To start to simplify this expression first expand the parenthesis by multiply each term within the parenthesis by the term outside the associated parenthesis:

$\left(- 4 \cdot x\right) + \left(- 4 \cdot 2\right) - \left(\frac{1}{2} \cdot 2 x\right) + \left(\frac{1}{2} \cdot 6\right) \implies$

$- 4 x - 8 - x + 3 \implies$

Step 2) Combine like terms to get to the final simplified expressions:

$- 4 x - x - 8 + 3 \implies$

$\left(- 4 - 1\right) x - 5$

$- 5 x - 5$ or $- 5 \left(x + 1\right)$