How do you solve #3- | 3- 6x | = - 2#?

1 Answer
Jun 29, 2017

#x = -1/3 " " or " " x = 4/3#

Explanation:

First, subtract 3 from both sides:

#3 - |3-6x| = -2#

#-|3-6x| = -5#

Next, multiply by -1:

#|3-6x| = 5#

Separate this into two equations:

#3-6x = 5 " " or " " 3-6x = -5#

Subtract 3 from both sides of both equations:

#-6x = 2 " " or " " -6x = -8#

And finally divide by -6.

#x = -1/3 " " or " " x = 4/3#

Final Answer