Solve for x 5+|x|=14

$5 + | x | = 14$

Step 1

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

Subtract $5$ from both sides of the equation.

$| x | = 14 - 5$

Subtract $5$ from $14$ .

$| x | = 9$

Step 2

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

$x = \pm 9$

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.

$x = 9$

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

$x = - 9$

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

$x = 9, - 9$