|4x|=12

Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

4x=±12

Set up the positive portion of the ± solution.

4x=12

Divide each term in 4x=12 by 4.

4×4=124

Cancel the common factor of 4.

Cancel the common factor.

4×4=124

Divide x by 1.

x=124

x=124

Divide 12 by 4.

x=3

x=3

Set up the negative portion of the ± solution.

4x=-12

Divide each term in 4x=-12 by 4.

4×4=-124

Cancel the common factor of 4.

Cancel the common factor.

4×4=-124

Divide x by 1.

x=-124

x=-124

Divide -12 by 4.

x=-3

x=-3

The solution to the equation includes both the positive and negative portions of the solution.

x=3,-3

Solve for x |4x|=12