Algebra Examples

$- 2 (- 7 + 11) - 5 - (- 2 + (- 3 + 5) - (4 - (2 + 3)))$

Step 1

Remove parentheses.

$- 2 (- 7 + 11) - 5 - (- 2 - 3 + 5 - (4 - (2 + 3)))$

Step 2

Simplify each term.

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Step 2.1

Add $- 7$ and $11$ .

$- 2 \cdot 4 - 5 - (- 2 - 3 + 5 - (4 - (2 + 3)))$

Step 2.2

Multiply $- 2$ by $4$ .

$- 8 - 5 - (- 2 - 3 + 5 - (4 - (2 + 3)))$

Step 2.3

Simplify each term.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Add $2$ and $3$ .

$- 8 - 5 - (- 2 - 3 + 5 - (4 - 1 \cdot 5))$

Step 2.3.1.2

Multiply $- 1$ by $5$ .

$- 8 - 5 - (- 2 - 3 + 5 - (4 - 5))$

Step 2.3.2

Subtract $5$ from $4$ .

$- 8 - 5 - (- 2 - 3 + 5 - - 1)$

Step 2.3.3

Multiply $- 1$ by $- 1$ .

$- 8 - 5 - (- 2 - 3 + 5 + 1)$

Step 2.4

Subtract $3$ from $- 2$ .

$- 8 - 5 - (- 5 + 5 + 1)$

Step 2.5

Add $- 5$ and $5$ .

$- 8 - 5 - (0 + 1)$

Step 2.6

Add $0$ and $1$ .

$- 8 - 5 - 1 \cdot 1$

Step 2.7

Multiply $- 1$ by $1$ .

$- 8 - 5 - 1$

Step 3

Simplify by subtracting numbers.

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Step 3.1

Subtract $5$ from $- 8$ .

$- 13 - 1$

Step 3.2

Subtract $1$ from $- 13$ .

$- 14$