Algebra Examples

$2 (- 5 x + 3) + - 2 (7 x - 1)$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$2 (- 5 x + 3) - 2 (7 x - 1)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$2 (- 5 x) + 2 \cdot 3 - 2 (7 x - 1)$

Step 2.2

Multiply $- 5$ by $2$ .

$- 10 x + 2 \cdot 3 - 2 (7 x - 1)$

Step 2.3

Multiply $2$ by $3$ .

$- 10 x + 6 - 2 (7 x - 1)$

Step 2.4

Apply the distributive property.

$- 10 x + 6 - 2 (7 x) - 2 \cdot - 1$

Step 2.5

Multiply $7$ by $- 2$ .

$- 10 x + 6 - 14 x - 2 \cdot - 1$

Step 2.6

Multiply $- 2$ by $- 1$ .

$- 10 x + 6 - 14 x + 2$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $14 x$ from $- 10 x$ .

$- 24 x + 6 + 2$

Step 3.2

Add $6$ and $2$ .

$- 24 x + 8$