Pre-Algebra Examples

$- \frac{1}{5} x = 12$

Step 1

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

$- 5 (- \frac{1}{5} x) = - 5 \cdot 12$

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 $- 5 (- \frac{1}{5} x)$ .

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Step 2.1.1.1

Combine $x$ and $\frac{1}{5}$ .

$- 5 (- \frac{x}{5}) = - 5 \cdot 12$

Step 2.1.1.2

Cancel the common factor of $5$ .

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Step 2.1.1.2.1

Move the leading negative in $- \frac{x}{5}$ into the numerator.

$- 5 \frac{- x}{5} = - 5 \cdot 12$

Step 2.1.1.2.2

Factor $5$ out of $- 5$ .

$5 (- 1) \frac{- x}{5} = - 5 \cdot 12$

Step 2.1.1.2.3

Cancel the common factor.

$5 \cdot - 1 \frac{- x}{5} = - 5 \cdot 12$

Step 2.1.1.2.4

Rewrite the expression.

$- - x = - 5 \cdot 12$

$- - x = - 5 \cdot 12$

Step 2.1.1.3

Multiply.

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 x = - 5 \cdot 12$

Step 2.1.1.3.2

Multiply $x$ by $1$ .

$x = - 5 \cdot 12$

$x = - 5 \cdot 12$

$x = - 5 \cdot 12$

$x = - 5 \cdot 12$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 5$ by $12$ .

$x = - 60$

$x = - 60$

$x = - 60$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$