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

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

Expand $(x - 7) (3 x + 2)$ using the FOIL Method.

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

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

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x$ .

$3 x^{2} + x \cdot 2 - 7 (3 x) - 7 \cdot 2$

$3 x^{2} + x \cdot 2 - 7 (3 x) - 7 \cdot 2$

Move $2$ to the left of $x$ .

$3 x^{2} + 2 \cdot x - 7 (3 x) - 7 \cdot 2$

Multiply $3$ by $- 7$ .

$3 x^{2} + 2 x - 21 x - 7 \cdot 2$

Multiply $- 7$ by $2$ .

$3 x^{2} + 2 x - 21 x - 14$

$3 x^{2} + 2 x - 21 x - 14$

Subtract $21 x$ from $2 x$ .

$3 x^{2} - 19 x - 14$

$3 x^{2} - 19 x - 14$

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