Algebra Examples

$30 - \frac{18 - 8}{- 2} + (- 5)$

Step 1

Remove parentheses.

$30 - \frac{18 - 8}{- 2} - 5$

Step 2

Find the common denominator.

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Step 2.1

Write $30$ as a fraction with denominator $1$ .

$\frac{30}{1} - \frac{18 - 8}{- 2} - 5$

Step 2.2

Multiply $\frac{30}{1}$ by $\frac{2}{2}$ .

$\frac{30}{1} \cdot \frac{2}{2} - \frac{18 - 8}{- 2} - 5$

Step 2.3

Multiply $\frac{30}{1}$ by $\frac{2}{2}$ .

$\frac{30 \cdot 2}{2} - \frac{18 - 8}{- 2} - 5$

Step 2.4

Multiply $\frac{18 - 8}{- 2}$ by $\frac{- 1}{- 1}$ .

$\frac{30 \cdot 2}{2} - (\frac{18 - 8}{- 2} \cdot \frac{- 1}{- 1}) - 5$

Step 2.5

Multiply $\frac{18 - 8}{- 2}$ by $\frac{- 1}{- 1}$ .

$\frac{30 \cdot 2}{2} - \frac{(18 - 8) \cdot - 1}{- 2 \cdot - 1} - 5$

Step 2.6

Write $- 5$ as a fraction with denominator $1$ .

$\frac{30 \cdot 2}{2} - \frac{(18 - 8) \cdot - 1}{- 2 \cdot - 1} + \frac{- 5}{1}$

Step 2.7

Multiply $\frac{- 5}{1}$ by $\frac{2}{2}$ .

$\frac{30 \cdot 2}{2} - \frac{(18 - 8) \cdot - 1}{- 2 \cdot - 1} + \frac{- 5}{1} \cdot \frac{2}{2}$

Step 2.8

Multiply $\frac{- 5}{1}$ by $\frac{2}{2}$ .

$\frac{30 \cdot 2}{2} - \frac{(18 - 8) \cdot - 1}{- 2 \cdot - 1} + \frac{- 5 \cdot 2}{2}$

Step 2.9

Multiply $- 2$ by $- 1$ .

$\frac{30 \cdot 2}{2} - \frac{(18 - 8) \cdot - 1}{2} + \frac{- 5 \cdot 2}{2}$

Step 3

Combine the numerators over the common denominator.

$\frac{30 \cdot 2 - (18 - 8) \cdot - 1 - 5 \cdot 2}{2}$

Step 4

Simplify each term.

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Step 4.1

Multiply $30$ by $2$ .

$\frac{60 - (18 - 8) \cdot - 1 - 5 \cdot 2}{2}$

Step 4.2

Subtract $8$ from $18$ .

$\frac{60 - 1 \cdot 10 \cdot - 1 - 5 \cdot 2}{2}$

Step 4.3

Multiply $- 1 \cdot 10 \cdot - 1$ .

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Step 4.3.1

Multiply $- 1$ by $10$ .

$\frac{60 - 10 \cdot - 1 - 5 \cdot 2}{2}$

Step 4.3.2

Multiply $- 10$ by $- 1$ .

$\frac{60 + 10 - 5 \cdot 2}{2}$

Step 4.4

Multiply $- 5$ by $2$ .

$\frac{60 + 10 - 10}{2}$

Step 5

Simplify the expression.

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Step 5.1

Add $60$ and $10$ .

$\frac{70 - 10}{2}$

Step 5.2

Subtract $10$ from $70$ .

$\frac{60}{2}$

Step 5.3

Divide $60$ by $2$ .

$30$