|x| = 3 what is the answer with work

When you have an absolute value equation like this, you drop the absolute value signs and change the sign of the value opposite of x.

For instance,

|x| = 3

Let's drop the || signs.

x = 3

This is one solution. Let's change the sign of 3 now.

x = -3

In conclusion,

x = 3, -3