How do you simplify #(7x + 4) - ( 2x - 4) + ( 8x + 8)#?

1 Answer
May 12, 2018

Answer:

#13x + 16#

Explanation:

First, distribute the negative sign in #color(blue)(-(2x-4))#:
#color(blue)(-(2x-4) = -2x + 4)#

Put it back into the expression:
#7x + 4 - 2x + 4 + 8x + 8#

Now let's color-code the like terms:
#quadcolor(red)(7x) quadcolor(blue)(+quad4) quadcolor(red)(-quad2x) quadcolor(blue)(+quad4) quadcolor(red)(+quad8x) quadcolor(blue)(+quad8)#

Combine like terms and get the final answer:
#13x + 16#

Hope this helps!