Simplify 2(4(x-2)-8x)

$2 (4 (x - 2) - 8 x)$

Step 1

Simplify each term.

Apply the distributive property.

$2 (4 x + 4 \cdot - 2 - 8 x)$

Multiply $4$ by $- 2$ .

$2 (4 x - 8 - 8 x)$

$2 (4 x - 8 - 8 x)$

Step 2

Simplify terms.

Subtract $8 x$ from $4 x$ .

$2 (- 4 x - 8)$

Apply the distributive property.

$2 (- 4 x) + 2 \cdot - 8$

Multiply.

Multiply $- 4$ by $2$ .

$- 8 x + 2 \cdot - 8$

Multiply $2$ by $- 8$ .

$- 8 x - 16$

$- 8 x - 16$

$- 8 x - 16$

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