Answer :

luana
[tex]|x+2|+16=14 \ \ \ \ | subtract\ 16\\\\ |x+2|=-2\\\\ x+2=-2\ \ \ or\ \ \ -x-2=-2\\\\ x=-4\ \ \ \ or\ \ \ \ \ -x=0\\\\ x=-4\ \ \ or\ \ \ \ x=0[/tex]
CatInThePark
(x+2) + 16 = 14
-16]              [-16  
          x+2 = -2
-2]                  [-2
             x = -4

so the logical option is option 2, but you should put your numbers back into the original equation to check they're right.

when x = -4
(x+2) +16
= (-4 +2) +16
= -2 + 16
= 14            which is correct

when x = 0
(x+2) + 16
= (0+2) + 16
= 2 + 16
= 18           which is incorrect

and since we worked out x and know that none of the other numerical options are possible, I would say option 4 (no solution) is the answer.

Hope this helped. 

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