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

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Answer 1 · 2016-03-14T14:21:47

#x=4,-16/3#

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

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#:.# 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#