Algebra Examples

$2 x - 3 (5 x - 2 (6 - x))$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 x - 3 (5 x - 2 \cdot 6 - 2 (- x))$

Step 1.2

Multiply $- 2$ by $6$ .

$2 x - 3 (5 x - 12 - 2 (- x))$

Step 1.3

Multiply $- 1$ by $- 2$ .

$2 x - 3 (5 x - 12 + 2 x)$

$2 x - 3 (5 x - 12 + 2 x)$

Step 2

Add $5 x$ and $2 x$ .

$2 x - 3 (7 x - 12)$

Step 3

Apply the distributive property.

$2 x - 3 (7 x) - 3 \cdot - 12$

Step 4

Multiply $7$ by $- 3$ .

$2 x - 21 x - 3 \cdot - 12$

Step 5

Multiply $- 3$ by $- 12$ .

$2 x - 21 x + 36$

Step 6

Subtract $21 x$ from $2 x$ .

$- 19 x + 36$

Step 7

Factor $- 1$ out of $- 19 x + 36$ .

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Step 7.1

Factor $- 1$ out of $- 19 x$ .

$- (19 x) + 36$

Step 7.2

Rewrite $36$ as $- 1 (- 36)$ .

$- (19 x) - 1 (- 36)$

Step 7.3

Factor $- 1$ out of $- (19 x) - 1 (- 36)$ .

$- (19 x - 36)$

$- (19 x - 36)$

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