How do you solve #-x - 5x = 24#?

1 Answer
May 30, 2018

Answer:

#x = -4 #

Explanation:

To solve this problem you first want to collect the like terms. You have two terms #-x# and #-5x#.

You combine these terms to form #-6x#.
Instead of thinking of the problem as subtracting #5x# from #-x# you can think of it as adding #-5x# to #-x#.

To understand this you can simply write out the #x#'s individually.

#-x -x -x -x -x -x#

You see that when you subtract a negative from a negative it is like adding the negatives together.

We then get:

#-6x = 24#

After collecting like terms you can divide #24# by #-6# to get the value of #x#.

#24/-6=-4#

#:. x = -4#

Therefore the answer is #-4#.