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

1 Answer
Jun 30, 2018

Answer:

#12x - 23#

Explanation:

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

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