Algebra Examples

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

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

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)

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

Step 1.2

Multiply

5

$5$ by

2

$2$ .

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

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

Step 1.3

Multiply

2

$2$ by

3

$3$ .

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

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

Step 1.4

Apply the distributive property.

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

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

Step 1.5

Multiply

2

$2$ by

- 2

$- 2$ .

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

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

Step 1.6

Multiply

- 2

$- 2$ by

- 3

$- 3$ .

10 x + 6 - 4 x + 6

$10 x + 6 - 4 x + 6$

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

$4 x$ from

10 x

$10 x$ .

6 x + 6 + 6

$6 x + 6 + 6$

Step 2.2

Add

6

$6$ and

6

$6$ .

6 x + 12

$6 x + 12$

6 x + 12

$6 x + 12$

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

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