Algebra Examples

$- 2 | x | = 14$

Step 1

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

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Step 1.1

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

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

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 2$ .

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Step 1.2.1.1

Cancel the common factor.

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

Step 1.2.1.2

Divide $| x |$ by $1$ .

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

Step 1.3

Simplify the right side.

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Step 1.3.1

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