Algebra Examples

$22 (0.5 x + y) - 2 (0.5 x + y)$

Step 1

Apply the distributive property.

$22 (0.5 x) + 22 y - 2 (0.5 x + y)$

Step 2

Multiply $0.5$ by $22$ .

$11 x + 22 y - 2 (0.5 x + y)$

Step 3

Apply the distributive property.

$11 x + 22 y - 2 (0.5 x) - 2 y$

Step 4

Multiply $0.5$ by $- 2$ .

$11 x + 22 y - 1 x - 2 y$

Step 5

Rewrite $- 1 x$ as $- x$ .

$11 x + 22 y - x - 2 y$

Step 6

Subtract $x$ from $11 x$ .

$10 x + 22 y - 2 y$

Step 7

Subtract $2 y$ from $22 y$ .

$10 x + 20 y$

Step 8

Factor $10$ out of $10 x + 20 y$ .

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Step 8.1

Factor $10$ out of $10 x$ .

$10 (x) + 20 y$

Step 8.2

Factor $10$ out of $20 y$ .

$10 (x) + 10 (2 y)$

Step 8.3

Factor $10$ out of $10 (x) + 10 (2 y)$ .

$10 (x + 2 y)$

$10 (x + 2 y)$

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