How do you solve #5(-3x - 2) - x + 3 = -4(4x + 5) + 13#?

1 Answer
Mar 7, 2017

See the entire solution process below:

Explanation:

First, expand all of the terms within parenthesis. Be careful to handle the signs of each individual term correctly:

#(5 xx -3x) + (5 xx -2) - x + 3 = (-4 xx 4x) + (-4 xx 5) + 13#

#-15x - 10 - x + 3 = -16x - 20 + 13#

Next, group and combine like terms:

#-15x - x - 7 = -16x - 7#

#-16x - 7 = -16x - 7#

Because both sides of the equation are equal the answer is"

#x# can be any number or #x# is the set of all numbers.