Posted by
**Shreya** on
.

solving equations with two absolute value brackets

|x+4| = |x-2|

so i want to know how to do this? do i always have to write out the four piecewise possibilities? that be ++ -+ and +-

++

x+4 = x-2

4 = -2 not solution

-+

-(x+4) = x-2

-x-4 = x-2

-4 = 2x-2

-1 = x solution

+-

x+4 = -(x-2)

x+4 = -x+2

2x+4 = 2

x = -1 solution