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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $3$ by $- 4$ .

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

Apply the distributive property.

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

Multiply $- 5$ by $- 6$ .

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

Step 2

Simplify by adding terms.

Add $2 w$ and $3 w$ .

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

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

Subtract $5 w$ from $5 w$ .

$0 - 3 - 12 + 30$

Subtract $3$ from $0$ .

$- 3 - 12 + 30$

Simplify by adding and subtracting.

Subtract $12$ from $- 3$ .

$- 15 + 30$

Add $- 15$ and $30$ .

$15$