Solve the Absolute Value Inequality for x -2|x|=14

$- 2 | x | = 14$

Step 1

Divide each term in $- 2 | x | = 14$ by $- 2$ and simplify.

Divide each term in $- 2 | x | = 14$ by $- 2$ .

$\frac{- 2 | x |}{- 2} = \frac{14}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 | x |}{- 2} = \frac{14}{- 2}$

Divide $| x |$ by $1$ .

$| x | = \frac{14}{- 2}$

Simplify the right side.

Divide $14$ by $- 2$ .

$| x | = - 7$

Step 2

There is no value of $x$ that makes the equation be true since an absolute value can never be negative.

No solution