Solve for x |x|-11=-8

$| x | - 11 = - 8$

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

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Add $11$ to both sides of the equation.

$| x | = - 8 + 11$

Add $- 8$ and $11$ .

$| x | = 3$

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

$x = \pm 3$

Set up the positive portion of the $\pm$ solution.

$x = 3$

Set up the negative portion of the $\pm$ solution.

$x = - 3$

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

$x = 3, - 3$

Solve for x |x|-11=-8

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