Basic Math Examples

$5 (2 a - 4 b) - 4 (a - 5 b)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 (2 a) + 5 (- 4 b) - 4 (a - 5 b)$

Step 1.2

Multiply $2$ by $5$ .

$10 a + 5 (- 4 b) - 4 (a - 5 b)$

Step 1.3

Multiply $- 4$ by $5$ .

$10 a - 20 b - 4 (a - 5 b)$

Step 1.4

Apply the distributive property.

$10 a - 20 b - 4 a - 4 (- 5 b)$

Step 1.5

Multiply $- 5$ by $- 4$ .

$10 a - 20 b - 4 a + 20 b$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $10 a - 20 b - 4 a + 20 b$ .

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Step 2.1.1

Add $- 20 b$ and $20 b$ .

$10 a - 4 a + 0$

Step 2.1.2

Add $10 a - 4 a$ and $0$ .

$10 a - 4 a$

Step 2.2

Subtract $4 a$ from $10 a$ .

$6 a$