Simplify 5+2x-4(3x+7(2-x))

$5 + 2 x - 4 (3 x + 7 (2 - x))$

Step 1

Simplify each term.

Simplify each term.

Apply the distributive property.

$5 + 2 x - 4 (3 x + 7 \cdot 2 + 7 (- x))$

Multiply $7$ by $2$ .

$5 + 2 x - 4 (3 x + 14 + 7 (- x))$

Multiply $- 1$ by $7$ .

$5 + 2 x - 4 (3 x + 14 - 7 x)$

$5 + 2 x - 4 (3 x + 14 - 7 x)$

Subtract $7 x$ from $3 x$ .

$5 + 2 x - 4 (- 4 x + 14)$

Apply the distributive property.

$5 + 2 x - 4 (- 4 x) - 4 \cdot 14$

Multiply $- 4$ by $- 4$ .

$5 + 2 x + 16 x - 4 \cdot 14$

Multiply $- 4$ by $14$ .

$5 + 2 x + 16 x - 56$

$5 + 2 x + 16 x - 56$

Step 2

Simplify by adding terms.

Subtract $56$ from $5$ .

$2 x + 16 x - 51$

Add $2 x$ and $16 x$ .

$18 x - 51$

$18 x - 51$

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