Algebra Examples

$- \frac{3}{5} (- 8 + \frac{5}{9} x - 3)$

Step 1

Combine $\frac{5}{9}$ and $x$ .

$- \frac{3}{5} \cdot (- 8 + \frac{5 x}{9} - 3)$

Step 2

Subtract $3$ from $- 8$ .

$- \frac{3}{5} \cdot (\frac{5 x}{9} - 11)$

Step 3

Apply the distributive property.

$- \frac{3}{5} \cdot \frac{5 x}{9} - \frac{3}{5} \cdot - 11$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Move the leading negative in $- \frac{3}{5}$ into the numerator.

$\frac{- 3}{5} \cdot \frac{5 x}{9} - \frac{3}{5} \cdot - 11$

Step 4.2

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{5} \cdot \frac{5 x}{9} - \frac{3}{5} \cdot - 11$

Step 4.3

Factor $3$ out of $9$ .

$\frac{3 \cdot - 1}{5} \cdot \frac{5 x}{3 \cdot 3} - \frac{3}{5} \cdot - 11$

Step 4.4

Cancel the common factor.

$\frac{3 \cdot - 1}{5} \cdot \frac{5 x}{3 \cdot 3} - \frac{3}{5} \cdot - 11$

Step 4.5

Rewrite the expression.

$\frac{- 1}{5} \cdot \frac{5 x}{3} - \frac{3}{5} \cdot - 11$

Step 5

Cancel the common factor of $5$ .

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Step 5.1

Factor $5$ out of $5 x$ .

$\frac{- 1}{5} \cdot \frac{5 (x)}{3} - \frac{3}{5} \cdot - 11$

Step 5.2

Cancel the common factor.

$\frac{- 1}{5} \cdot \frac{5 x}{3} - \frac{3}{5} \cdot - 11$

Step 5.3

Rewrite the expression.

$- 1 \frac{x}{3} - \frac{3}{5} \cdot - 11$

Step 6

Multiply $- \frac{3}{5} \cdot - 11$ .

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Step 6.1

Multiply $- 11$ by $- 1$ .

$- 1 \frac{x}{3} + 11 (\frac{3}{5})$

Step 6.2

Combine $11$ and $\frac{3}{5}$ .

$- 1 \frac{x}{3} + \frac{11 \cdot 3}{5}$

Step 6.3

Multiply $11$ by $3$ .

$- 1 \frac{x}{3} + \frac{33}{5}$

Step 7

Rewrite $- 1 \frac{x}{3}$ as $- \frac{x}{3}$ .

$- \frac{x}{3} + \frac{33}{5}$