# How do you simplify 7( 3x - 8) + 22- 9x?

Jun 30, 2018

$12 x - 23$

#### Explanation:

$7 \left(3 x - 8\right) + 22 - 9 x$

First, use the distributive property (shown below) to simplify $7 \left(3 x - 8\right)$:

Following this image, we know that:
$\textcolor{b l u e}{7 \left(3 x - 8\right) = \left(7 \cdot 3 x\right) + \left(7 \cdot - 8\right) = 21 x - 56}$

Put it back into the expression:
$21 x - 45 + 22 - 9 x$

Combine like terms:
$12 x - 23$

Hope this helps!