Solve for x |x|-7=6

$| x | - 7 = 6$

Step 1

Move all terms not containing $| x |$ to the right side of the equation.

Add $7$ to both sides of the equation.

$| x | = 6 + 7$

Add $6$ and $7$ .

$| x | = 13$

Step 2

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

$x = \pm 13$

Step 3

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = 13$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - 13$

The complete solution is the result of both the positive and negative portions of the solution.

$x = 13, - 13$