How do you solve #abs(2x - 3) = 6#?

1 Answer
Mar 22, 2018

Answer:

#x=4.5# and #x=-1.5#

Explanation:

By definition of absolute value, whatever is inside can be #6# or #-6#.

This gives us two equations:
#2x-3=6#
#2x-3=-6#

Solving the first equation,
#2x-3=6#
#2x=9#
#x=4.5#

Solving the second equation,
#2x-3=-6#
#2x=-3#
#x=-1.5#

So the two values of x are 4.5 and -1.5