# How do you simplify 4( 5x + 9) - 2( x - 4)?

Nov 19, 2016

The simplified expression is $18 x + 44$.

#### Explanation:

Follow the Order of Operations. First, we will distribute the $4$ and the $- 2$. Then combine the like terms.

$4 \left(5 x + 9\right) - 2 \left(x - 4\right)$
$20 x + 36 - 2 x + 8$
$20 x - 2 x + 36 + 8$
$18 x + 44$

Nov 19, 2016

$18 x + 44$

#### Explanation:

Step 1) Expand the terms within each parenthesis:

$\left(4 \cdot 5 x\right) + \left(4 \cdot 9\right) - \left(2 \cdot x\right) - \left(2 \cdot - 4\right) \implies$

$20 x + 36 - 2 x + 8$ (minus a minus 8 or - - 8 is +8)

Step 2) Combine like terms:

$20 x - 2 x + 36 + 8 \implies$

$\left(20 - 2\right) x + 44 \implies$

$18 x + 44$