Pre-Algebra Examples

$\frac{x}{- 5} = - 10$

Step 1

Multiply both sides of the equation by $- 5$ .

$- 5 \frac{x}{- 5} = - 5 \cdot - 10$

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 $- 5 \frac{x}{- 5}$ .

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Step 2.1.1.1

Cancel the common factor of $5$ .

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Step 2.1.1.1.1

Factor $5$ out of $- 5$ .

$5 (- 1) \frac{x}{- 5} = - 5 \cdot - 10$

Step 2.1.1.1.2

Factor $5$ out of $- 5$ .

$5 \cdot - 1 \frac{x}{5 \cdot - 1} = - 5 \cdot - 10$

Step 2.1.1.1.3

Cancel the common factor.

$5 \cdot - 1 \frac{x}{5 \cdot - 1} = - 5 \cdot - 10$

Step 2.1.1.1.4

Rewrite the expression.

$- \frac{x}{- 1} = - 5 \cdot - 10$

Step 2.1.1.2

Simplify the expression.

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Step 2.1.1.2.1

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

$- (- 1 \cdot x) = - 5 \cdot - 10$

Step 2.1.1.2.2

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

$- - x = - 5 \cdot - 10$

Step 2.1.1.3

Multiply $- - x$ .

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 x = - 5 \cdot - 10$

Step 2.1.1.3.2

Multiply $x$ by $1$ .

$x = - 5 \cdot - 10$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 5$ by $- 10$ .

$x = 50$