Algebra Examples

$7 (2 x + 2) - 9 (- 1 + 6 x)$

Step 1

Apply the distributive property.

$7 (2 x) + 7 \cdot 2 - 9 (- 1 + 6 x)$

Step 2

Multiply $2$ by $7$ .

$14 x + 7 \cdot 2 - 9 (- 1 + 6 x)$

Step 3

Multiply $7$ by $2$ .

$14 x + 14 - 9 (- 1 + 6 x)$

Step 4

Apply the distributive property.

$14 x + 14 - 9 \cdot - 1 - 9 (6 x)$

Step 5

Multiply $- 9$ by $- 1$ .

$14 x + 14 + 9 - 9 (6 x)$

Step 6

Multiply $6$ by $- 9$ .

$14 x + 14 + 9 - 54 x$

Step 7

Subtract $54 x$ from $14 x$ .

$- 40 x + 14 + 9$

Step 8

Add $14$ and $9$ .

$- 40 x + 23$

Step 9

Factor $- 1$ out of $- 40 x + 23$ .

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Step 9.1

Factor $- 1$ out of $- 40 x$ .

$- (40 x) + 23$

Step 9.2

Rewrite $23$ as $- 1 (- 23)$ .

$- (40 x) - 1 (- 23)$

Step 9.3

Factor $- 1$ out of $- (40 x) - 1 (- 23)$ .

$- (40 x - 23)$

$- (40 x - 23)$

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