Simplify (-3+7xy)-(2+4xy)-(12x+14xy)

$(- 3 + 7 x y) - (2 + 4 x y) - (12 x + 14 x y)$

Step 1

Simplify each term.

Apply the distributive property.

$- 3 + 7 x y - 1 \cdot 2 - (4 x y) - (12 x + 14 x y)$

Multiply $- 1$ by $2$ .

$- 3 + 7 x y - 2 - (4 x y) - (12 x + 14 x y)$

Multiply $4$ by $- 1$ .

$- 3 + 7 x y - 2 - 4 (x y) - (12 x + 14 x y)$

Apply the distributive property.

$- 3 + 7 x y - 2 - 4 x y - (12 x) - (14 x y)$

Multiply $12$ by $- 1$ .

$- 3 + 7 x y - 2 - 4 x y - 12 x - (14 x y)$

Multiply $14$ by $- 1$ .

$- 3 + 7 x y - 2 - 4 x y - 12 x - 14 x y$

Step 2

Simplify by adding terms.

Subtract $2$ from $- 3$ .

$7 x y - 5 - 4 x y - 12 x - 14 x y$

Subtract $4 x y$ from $7 x y$ .

$3 x y - 5 - 12 x - 14 x y$

Subtract $14 x y$ from $3 x y$ .

$- 11 x y - 5 - 12 x$

Move $- 5$ .

$- 11 x y - 12 x - 5$