Replace all the variables that we know the value for.
-3 = |x|
Make to equations from this one.
-3 = x and -3 = -(x)
Solve the first one.
-3 = x
x = -3 <-- Switch it around
-3 = -(x)
-(x) = -3 <-- Switch it around
x = 3 <-- Divide both sides by -1
So, there are two possible answers, -3 and 3.