How do you solve #abs(x-8)=3#?

1 Answer
Don't Memorise
Apr 13, 2015

As #abs(x - 8) = 3#, we can say that

#x-8 = 3 or x-8 = -3#

There will hence be two solutions for #x#

First solution:
#x-8 = 3#
#x = 3+8# (Transposed -8 to the Right Hand Side)
#color(green)(x=11#

Second solution
#x-8 = -3#
#x= -3 +8# (Transposed -8 to the Right Hand Side)
#color(green)(x = 5#

Related questions
See all questions in Absolute Value Equations
Impact of this question
1801 views around the world
You can reuse this answer
Creative Commons License