Evaluate 12x-2(4x-7(x-2)+3)

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

Step 1

Simplify each term.

Simplify each term.

Apply the distributive property.

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

Multiply $- 7$ by $- 2$ .

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

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

Subtract $7 x$ from $4 x$ .

$12 x - 2 (- 3 x + 14 + 3)$

Add $14$ and $3$ .

$12 x - 2 (- 3 x + 17)$

Apply the distributive property.

$12 x - 2 (- 3 x) - 2 \cdot 17$

Multiply $- 3$ by $- 2$ .

$12 x + 6 x - 2 \cdot 17$

Multiply $- 2$ by $17$ .

$12 x + 6 x - 34$

$12 x + 6 x - 34$

Step 2

Add $12 x$ and $6 x$ .

$18 x - 34$

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