Algebra Examples

$12 - ((6 - 4) + (8 - 15)) - (4 - (3 + 2) - (1 - 7))$

Step 1

Remove parentheses.

$12 - (6 - 4 + 8 - 15) - (4 - (3 + 2) - (1 - 7))$

Step 2

Simplify each term.

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Step 2.1

Subtract $4$ from $6$ .

$12 - (2 + 8 - 15) - (4 - (3 + 2) - (1 - 7))$

Step 2.2

Add $2$ and $8$ .

$12 - (10 - 15) - (4 - (3 + 2) - (1 - 7))$

Step 2.3

Subtract $15$ from $10$ .

$12 - - 5 - (4 - (3 + 2) - (1 - 7))$

Step 2.4

Multiply $- 1$ by $- 5$ .

$12 + 5 - (4 - (3 + 2) - (1 - 7))$

Step 2.5

Simplify each term.

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Step 2.5.1

Add $3$ and $2$ .

$12 + 5 - (4 - 1 \cdot 5 - (1 - 7))$

Step 2.5.2

Multiply $- 1$ by $5$ .

$12 + 5 - (4 - 5 - (1 - 7))$

Step 2.5.3

Subtract $7$ from $1$ .

$12 + 5 - (4 - 5 - - 6)$

Step 2.5.4

Multiply $- 1$ by $- 6$ .

$12 + 5 - (4 - 5 + 6)$

$12 + 5 - (4 - 5 + 6)$

Step 2.6

Subtract $5$ from $4$ .

$12 + 5 - (- 1 + 6)$

Step 2.7

Add $- 1$ and $6$ .

$12 + 5 - 1 \cdot 5$

Step 2.8

Multiply $- 1$ by $5$ .

$12 + 5 - 5$

$12 + 5 - 5$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $12$ and $5$ .

$17 - 5$

Step 3.2

Subtract $5$ from $17$ .

$12$

$12$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$