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

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Answer 1 · 2018-07-14T21:24:06

#-2(x -4)#

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

# -2xx{(-2x)/(-2) + 8/(-2)}= -2( x - 4)#