Simplify 8x-2(20-3(x-4))

$8 x - 2 (20 - 3 (x - 4))$

Step 1

Simplify each term.

Simplify each term.

Apply the distributive property.

$8 x - 2 (20 - 3 x - 3 \cdot - 4)$

Multiply $- 3$ by $- 4$ .

$8 x - 2 (20 - 3 x + 12)$

$8 x - 2 (20 - 3 x + 12)$

Add $20$ and $12$ .

$8 x - 2 (- 3 x + 32)$

Apply the distributive property.

$8 x - 2 (- 3 x) - 2 \cdot 32$

Multiply $- 3$ by $- 2$ .

$8 x + 6 x - 2 \cdot 32$

Multiply $- 2$ by $32$ .

$8 x + 6 x - 64$

$8 x + 6 x - 64$

Step 2

Add $8 x$ and $6 x$ .

$14 x - 64$

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