Simplify (5x^2-8+2x)-(x+9x^2+5)

$(5 x^{2} - 8 + 2 x) - (x + 9 x^{2} + 5)$

Simplify each term.

Apply the distributive property.

$5 x^{2} - 8 + 2 x - x - (9 x^{2}) - 1 \cdot 5$

Simplify.

Multiply $9$ by $- 1$ .

$5 x^{2} - 8 + 2 x - x - 9 x^{2} - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$5 x^{2} - 8 + 2 x - x - 9 x^{2} - 5$

$5 x^{2} - 8 + 2 x - x - 9 x^{2} - 5$

$5 x^{2} - 8 + 2 x - x - 9 x^{2} - 5$

Simplify by adding terms.

Subtract $9 x^{2}$ from $5 x^{2}$ .

$- 4 x^{2} - 8 + 2 x - x - 5$

Subtract $5$ from $- 8$ .

$- 4 x^{2} + 2 x - x - 13$

Subtract $x$ from $2 x$ .

$- 4 x^{2} + x - 13$

$- 4 x^{2} + x - 13$

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