Simplify -2x(5-3x)+10x^2-7x

$- 2 x (5 - 3 x) + 10 x^{2} - 7 x$

Simplify each term.

Apply the distributive property.

$- 2 x \cdot 5 - 2 x (- 3 x) + 10 x^{2} - 7 x$

Multiply $5$ by $- 2$ .

$- 10 x - 2 x (- 3 x) + 10 x^{2} - 7 x$

Rewrite using the commutative property of multiplication.

$- 10 x - 2 \cdot - 3 x \cdot x + 10 x^{2} - 7 x$

Simplify each term.

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

Move $x$ .

$- 10 x - 2 \cdot - 3 (x \cdot x) + 10 x^{2} - 7 x$

Multiply $x$ by $x$ .

$- 10 x - 2 \cdot - 3 x^{2} + 10 x^{2} - 7 x$

Multiply $- 2$ by $- 3$ .

$- 10 x + 6 x^{2} + 10 x^{2} - 7 x$

Simplify by adding terms.

Subtract $7 x$ from $- 10 x$ .

$6 x^{2} + 10 x^{2} - 17 x$

Add $6 x^{2}$ and $10 x^{2}$ .

$16 x^{2} - 17 x$