How do you solve #abs(x+17)+10=70#?

1 Answer
Sam B. · Evan
May 12, 2018

#x=43# or #-77#

Explanation:

#|x+17| + 10 = 70#
#|x+17| = 70 - 10#
#|x+17| = 60#

#x# can have two answers, where #x# positive
or #x# is negative

First, when #x# is positive:

#|x+17| = 60#
#|x| = 60 - 17#
#x = 43#

Next, when #x# is negative:

#|x +17| = -60#
#x +17 = -60#
#x = -60-17 #
#x = - 77#

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