Algebra Examples

$2 - 8 \div (- 2) - 3 - - 12 \div (- 6) \cdot - 2$

Step 1

Simplify each term.

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Step 1.1

Divide $8$ by $- 2$ .

$2 - - 4 - 3 - - 12 \div (- 6) \cdot - 2$

Step 1.2

Multiply $- 1$ by $- 4$ .

$2 + 4 - 3 - - 12 \div (- 6) \cdot - 2$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Move the leading negative in $- - 12 \div (- 6)$ into the numerator.

$2 + 4 - 3 + 12 \div (- 6) \cdot - 2$

Step 1.3.2

Factor $2$ out of $- 6$ .

$2 + 4 - 3 + 12 \div 2 (- 3) \cdot - 2$

Step 1.3.3

Factor $2$ out of $- 2$ .

$2 + 4 - 3 + 12 \div 2 \cdot - 3 \cdot (2 \cdot - 1)$

Step 1.3.4

Cancel the common factor.

$2 + 4 - 3 + 12 \div 2 \cdot - 3 \cdot (2 \cdot - 1)$

Step 1.3.5

Rewrite the expression.

$2 + 4 - 3 + \frac{12}{- 3} \cdot - 1$

Step 1.4

Combine $\frac{12}{- 3}$ and $- 1$ .

$2 + 4 - 3 + \frac{12 \cdot - 1}{- 3}$

Step 1.5

Multiply $12$ by $- 1$ .

$2 + 4 - 3 + \frac{- 12}{- 3}$

Step 1.6

Divide $- 12$ by $- 3$ .

$2 + 4 - 3 + 4$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $2$ and $4$ .

$6 - 3 + 4$

Step 2.2

Subtract $3$ from $6$ .

$3 + 4$

Step 2.3

Add $3$ and $4$ .

$7$