Algebra Examples

$(x + 2) - (x - 2) - 12 x$

Step 1

Remove parentheses.

$x + 2 - (x - 2) - 12 x$

Step 2

Subtract $12 x$ from $x$ .

$- 11 x + 2 - (x - 2)$

Step 3

Factor $- 1$ out of $- 11 x + 2 - (x - 2)$ .

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Step 3.1

Move $2$ .

$- 11 x - (x - 2) + 2$

Step 3.2

Factor $- 1$ out of $- 11 x$ .

$- (11 x) - (x - 2) + 2$

Step 3.3

Rewrite $2$ as $- 1 (- 2)$ .

$- (11 x) - (x - 2) - 1 (- 2)$

Step 3.4

Factor $- 1$ out of $- (11 x) - (x - 2)$ .

$- (11 x + x - 2) - 1 (- 2)$

Step 3.5

Factor $- 1$ out of $- (11 x + x - 2) - 1 (- 2)$ .

$- (11 x + x - 2 - 2)$

$- (11 x + x - 2 - 2)$

Step 4

Add $11 x$ and $x$ .

$- (12 x - 2 - 2)$

Step 5

Subtract $2$ from $- 2$ .

$- (12 x - 4)$

Step 6

Factor.

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Step 6.1

Factor $4$ out of $12 x - 4$ .

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Step 6.1.1

Factor $4$ out of $12 x$ .

$- (4 (3 x) - 4)$

Step 6.1.2

Factor $4$ out of $- 4$ .

$- (4 (3 x) + 4 (- 1))$

Step 6.1.3

Factor $4$ out of $4 (3 x) + 4 (- 1)$ .

$- (4 (3 x - 1))$

$- (4 (3 x - 1))$

Step 6.2

Remove unnecessary parentheses.

$- 1 \cdot 4 (3 x - 1)$

$- 1 \cdot 4 (3 x - 1)$

Step 7

Multiply $- 1$ by $4$ .

$- 4 (3 x - 1)$

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