Algebra Examples

$- 4 (x + 1) + 6 x$

Step 1

Factor $- 2$ out of $- 4 (x + 1) + 6 x$ .

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Step 1.1

Factor $- 2$ out of $- 4 (x + 1)$ .

$- 2 (2 (x + 1)) + 6 x$

Step 1.2

Factor $- 2$ out of $6 x$ .

$- 2 (2 (x + 1)) - 2 (- 3 x)$

Step 1.3

Factor $- 2$ out of $- 2 (2 (x + 1)) - 2 (- 3 x)$ .

$- 2 (2 (x + 1) - 3 x)$

$- 2 (2 (x + 1) - 3 x)$

Step 2

Apply the distributive property.

$- 2 (2 x + 2 \cdot 1 - 3 x)$

Step 3

Multiply $2$ by $1$ .

$- 2 (2 x + 2 - 3 x)$

Step 4

Subtract $3 x$ from $2 x$ .

$- 2 (- x + 2)$

Step 5

Factor.

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Step 5.1

Factor $- 1$ out of $- x + 2$ .

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Step 5.1.1

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

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

Step 5.1.2

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

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

Step 5.1.3

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

$- 2 (- (x - 2))$

$- 2 (- (x - 2))$

Step 5.2

Remove unnecessary parentheses.

$- 2 \cdot - 1 (x - 2)$

$- 2 \cdot - 1 (x - 2)$

Step 6

Combine exponents.

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Step 6.1

Factor out negative.

$- (- 2 (x - 2))$

Step 6.2

Multiply $- 2$ by $- 1$ .

$2 (x - 2)$

$2 (x - 2)$

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