# Simplify the expression (4x+8)+(-6x). Explain how the associative and commutative properties were used to solve the expression?

##### 1 Answer

Jul 14, 2018

#### Answer:

#### Explanation:

- use the distribution property to change
# + xx (-6x) # to -6x# ( + xx - = -)# - remove the parenthesis giving 4x +8

( there are several ways to proceed from here my choice is) -
use the commutative property to move the +8 and - 6x

# + 4x + 8 -6x = 4x - 6x +8# commutative property -
Use the associative property to group + 4x -6x

# + 4x -6x +8 = ( +4x -6x) +8# associative property -
Use algebraic addition to solve for

# ( +4x -6x)#

# (+ 4x -6x) +8 = -2x +8# -
Use the reverse distribution principal to simply and remove common terms