Finite Math Examples

$- \frac{x}{9} = - \frac{4}{3}$

Step 1

Multiply both sides of the equation by $- 9$ .

$- 9 (- \frac{x}{9}) = - 9 (- \frac{4}{3})$

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 $- 9 (- \frac{x}{9})$ .

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Step 2.1.1.1

Cancel the common factor of $9$ .

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Step 2.1.1.1.1

Move the leading negative in $- \frac{x}{9}$ into the numerator.

$- 9 \frac{- x}{9} = - 9 (- \frac{4}{3})$

Step 2.1.1.1.2

Factor $9$ out of $- 9$ .

$9 (- 1) \frac{- x}{9} = - 9 (- \frac{4}{3})$

Step 2.1.1.1.3

Cancel the common factor.

$9 \cdot - 1 \frac{- x}{9} = - 9 (- \frac{4}{3})$

Step 2.1.1.1.4

Rewrite the expression.

$- - x = - 9 (- \frac{4}{3})$

Step 2.1.1.2

Multiply.

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Step 2.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 x = - 9 (- \frac{4}{3})$

Step 2.1.1.2.2

Multiply $x$ by $1$ .

$x = - 9 (- \frac{4}{3})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- 9 (- \frac{4}{3})$ .

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Step 2.2.1.1

Cancel the common factor of $3$ .

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Step 2.2.1.1.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$x = - 9 (\frac{- 4}{3})$

Step 2.2.1.1.2

Factor $3$ out of $- 9$ .

$x = 3 (- 3) \frac{- 4}{3}$

Step 2.2.1.1.3

Cancel the common factor.

$x = 3 \cdot - 3 \frac{- 4}{3}$

Step 2.2.1.1.4

Rewrite the expression.

$x = - 3 \cdot - 4$

Step 2.2.1.2

Multiply $- 3$ by $- 4$ .

$x = 12$