Answer:
x=-3
|-x| = 3
|x| = 3
Step-by-step explanation:
we know that
If a number is a solution of a equation, then the number must satisfy the equation
Verify each case
case 1) we have
x=3
substitute the value of x=-3
-3=3 -----> is not true
therefore
x=-3 is not a solution of the given equation
case 2) we have
x=-3
substitute the value of x=-3
-3=-3 -----> is true
therefore
x=-3 is a solution of the given equation
case 3) we have
|-x| = 3
substitute the value of x=-3
|-(-3)| = 3
|3| = 3
3=3-----> is true
therefore
x=-3 is a solution of the given equation
case 4) we have
|x| = 3
substitute the value of x=-3
|(-3)| = 3
3=3-----> is true
therefore
x=-3 is a solution of the given equation
case 5) we have
-|x| = 3
substitute the value of x=-3
-|(-3)| = 3
-3=3-----> is not true
therefore
x=-3 is not a solution of the given equation
