How do you solve #|3x + 2| = 14#?

Question

7195 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-14T14:21:47

#x=4,-16/3#

#color(blue)(|\3x+2|=14#

enter image source here

#:.# Absolute value is always positive

Eg.#|6-7|=1#

But #|6-7| # actually equals #1# and #-1#

So,#|\3x+2|=14,-14#

Solve for the first value

#rarr3x+2=14#

#rarr3x=14-2#

#rarr3x=12#

#rArrcolor(green)(x=12/3=4#

Then, solve for the second value

#rarr3x+2=-14#

#rarr3x=-14-2#

#rarr3x=-16#

#rArrcolor(green)(x=-16/3#