How do you solve #3abs(-9 x-7)-2=13#?

1 Answer
May 9, 2018

Answer:

#x = -4/3#

#x = -2/9#

Explanation:

#3|-9x-7|-2 = 13#

add #+2# for both sides

#3|-9x-7| = 15#
divide by 3 both sides

#|-9x-7| = 5#

so now what is inside the absolute value is equal to 5 and -5 solve it twice

#-9x-7 = 5# and #-9x-7 = -5#

#color(red)(x = -12/9 = -4/3)#

and

#-9x-7 = -5#

#color(red)(x = -2/9)#

check your answers by substituting the values of x in the original equation and you will get both sides same value so your answer is correct/