Simplify -(2-x)-3(6+8x)-12

$- (2 - x) - 3 (6 + 8 x) - 12$

Simplify each term.

Apply the distributive property.

$- 1 \cdot 2 - - x - 3 (6 + 8 x) - 12$

Multiply $- 1$ by $2$ .

$- 2 - - x - 3 (6 + 8 x) - 12$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$- 2 + 1 x - 3 (6 + 8 x) - 12$

Multiply $x$ by $1$ .

$- 2 + x - 3 (6 + 8 x) - 12$

$- 2 + x - 3 (6 + 8 x) - 12$

Apply the distributive property.

$- 2 + x - 3 \cdot 6 - 3 (8 x) - 12$

Multiply $- 3$ by $6$ .

$- 2 + x - 18 - 3 (8 x) - 12$

Multiply $8$ by $- 3$ .

$- 2 + x - 18 - 24 x - 12$

$- 2 + x - 18 - 24 x - 12$

Simplify by adding terms.

Subtract $18$ from $- 2$ .

$x - 20 - 24 x - 12$

Subtract $24 x$ from $x$ .

$- 23 x - 20 - 12$

Subtract $12$ from $- 20$ .

$- 23 x - 32$

$- 23 x - 32$

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