Algebra Examples

$6 (3 x - 5) + 2 (3 x - 5) - 8 (3 x - 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 (3 x) + 6 \cdot - 5 + 2 (3 x - 5) - 8 (3 x - 5)$

Step 1.2

Multiply $3$ by $6$ .

$18 x + 6 \cdot - 5 + 2 (3 x - 5) - 8 (3 x - 5)$

Step 1.3

Multiply $6$ by $- 5$ .

$18 x - 30 + 2 (3 x - 5) - 8 (3 x - 5)$

Step 1.4

Apply the distributive property.

$18 x - 30 + 2 (3 x) + 2 \cdot - 5 - 8 (3 x - 5)$

Step 1.5

Multiply $3$ by $2$ .

$18 x - 30 + 6 x + 2 \cdot - 5 - 8 (3 x - 5)$

Step 1.6

Multiply $2$ by $- 5$ .

$18 x - 30 + 6 x - 10 - 8 (3 x - 5)$

Step 1.7

Apply the distributive property.

$18 x - 30 + 6 x - 10 - 8 (3 x) - 8 \cdot - 5$

Step 1.8

Multiply $3$ by $- 8$ .

$18 x - 30 + 6 x - 10 - 24 x - 8 \cdot - 5$

Step 1.9

Multiply $- 8$ by $- 5$ .

$18 x - 30 + 6 x - 10 - 24 x + 40$

Step 2

Simplify by adding terms.

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Step 2.1

Add $18 x$ and $6 x$ .

$24 x - 30 - 10 - 24 x + 40$

Step 2.2

Combine the opposite terms in $24 x - 30 - 10 - 24 x + 40$ .

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Step 2.2.1

Subtract $24 x$ from $24 x$ .

$0 - 30 - 10 + 40$

Step 2.2.2

Subtract $30$ from $0$ .

$- 30 - 10 + 40$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Subtract $10$ from $- 30$ .

$- 40 + 40$

Step 2.3.2

Add $- 40$ and $40$ .

$0$