Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $5$ by $2$ .

$10 x + 2 \cdot 3 - 2 (2 x - 3)$

Step 1.3

Multiply $2$ by $3$ .

$10 x + 6 - 2 (2 x - 3)$

Step 1.4

Apply the distributive property.

$10 x + 6 - 2 (2 x) - 2 \cdot - 3$

Step 1.5

Multiply $2$ by $- 2$ .

$10 x + 6 - 4 x - 2 \cdot - 3$

Step 1.6

Multiply $- 2$ by $- 3$ .

$10 x + 6 - 4 x + 6$

$10 x + 6 - 4 x + 6$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4 x$ from $10 x$ .

$6 x + 6 + 6$

Step 2.2

Add $6$ and $6$ .

$6 x + 12$

$6 x + 12$

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