Algebra Examples

$2 w - 3 + 3 (w - 4) - 5 (w - 6)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 w - 3 + 3 w + 3 \cdot - 4 - 5 (w - 6)$

Step 1.2

Multiply $3$ by $- 4$ .

$2 w - 3 + 3 w - 12 - 5 (w - 6)$

Step 1.3

Apply the distributive property.

$2 w - 3 + 3 w - 12 - 5 w - 5 \cdot - 6$

Step 1.4

Multiply $- 5$ by $- 6$ .

$2 w - 3 + 3 w - 12 - 5 w + 30$

$2 w - 3 + 3 w - 12 - 5 w + 30$

Step 2

Simplify by adding terms.

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Step 2.1

Add $2 w$ and $3 w$ .

$5 w - 3 - 12 - 5 w + 30$

Step 2.2

Combine the opposite terms in $5 w - 3 - 12 - 5 w + 30$ .

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Step 2.2.1

Subtract $5 w$ from $5 w$ .

$0 - 3 - 12 + 30$

Step 2.2.2

Subtract $3$ from $0$ .

$- 3 - 12 + 30$

$- 3 - 12 + 30$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Subtract $12$ from $- 3$ .

$- 15 + 30$

Step 2.3.2

Add $- 15$ and $30$ .

$15$

$15$

$15$

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