Question

|x + 2| + 16 = 14

Answer 1

| x + 2 | + 16 = 14 --- subtract 16 from both sides
| x + 2 | = 14 - 16
| x + 2 | = -2

x + 2 = -2
x = -2 -2
x = -4

-(x + 2) = -2
-x -2 = -2
-x = 0
x = 0

solutions are : x = -4 and x = 0

Answer 2

Thank you!! That was very helpful :>

Answer 3

−4|x + 5| = −16

Answer 4

Have you learnt anything from the previous example ? or just you got the answer ?

Answer 5

| x + 2 | = -2

we knowed that absolut is alwasy coming positive value
so, there is no solution for this case !

Answer 6

Agreed, once you get to | x + 2 | = -2, there are no solutions

|x+2| is never negative. Absolute value represents distance and negative distance makes no sense.