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

1 Answer
Jun 30, 2018

12x - 23

Explanation:

7(3x-8) + 22 - 9x

First, use the distributive property (shown below) to simplify 7(3x-8):
cdn.virtualnerd.comcdn.virtualnerd.com

Following this image, we know that:
color(blue)(7(3x-8) = (7 * 3x) + (7 * -8) = 21x - 56)

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

Combine like terms:
12x - 23

Hope this helps!