Pre-Algebra Examples

$\frac{- x}{4} = 8$

Step 1

Multiply both sides of the equation by $\frac{4}{- 1}$ .

$\frac{4}{- 1} \cdot \frac{- x}{4} = \frac{4}{- 1} \cdot 8$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{4}{- 1} \cdot \frac{- x}{4}$ .

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Step 2.1.1.1

Cancel the common factor of $4$ .

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Step 2.1.1.1.1

Cancel the common factor.

$\frac{4}{- 1} \cdot \frac{- x}{4} = \frac{4}{- 1} \cdot 8$

Step 2.1.1.1.2

Rewrite the expression.

$\frac{1}{- 1} (- x) = \frac{4}{- 1} \cdot 8$

Step 2.1.1.2

Combine $\frac{1}{- 1}$ and $x$ .

$- \frac{x}{- 1} = \frac{4}{- 1} \cdot 8$

Step 2.1.1.3

Simplify the expression.

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Step 2.1.1.3.1

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$- (- 1 \cdot x) = \frac{4}{- 1} \cdot 8$

Step 2.1.1.3.2

Rewrite $- 1 \cdot x$ as $- x$ .

$- - x = \frac{4}{- 1} \cdot 8$

Step 2.1.1.4

Multiply $- - x$ .

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Step 2.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 x = \frac{4}{- 1} \cdot 8$

Step 2.1.1.4.2

Multiply $x$ by $1$ .

$x = \frac{4}{- 1} \cdot 8$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{4}{- 1} \cdot 8$ .

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Step 2.2.1.1

Divide $4$ by $- 1$ .

$x = - 4 \cdot 8$

Step 2.2.1.2

Multiply $- 4$ by $8$ .

$x = - 32$