Simplify (-x^2-x)/(4x)+(2x)/x

$\frac{- x^{2} - x}{4 x} + \frac{2 x}{x}$

Simplify each term.

Factor $x$ out of $- x^{2} - x$ .

Factor $x$ out of $- x^{2}$ .

$\frac{x (- x) - x}{4 x} + \frac{2 x}{x}$

Factor $x$ out of $- x$ .

$\frac{x (- x) + x \cdot - 1}{4 x} + \frac{2 x}{x}$

Factor $x$ out of $x (- x) + x \cdot - 1$ .

$\frac{x (- x - 1)}{4 x} + \frac{2 x}{x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x (- x - 1)}{4 x} + \frac{2 x}{x}$

Rewrite the expression.

$\frac{- x - 1}{4} + \frac{2 x}{x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{- x - 1}{4} + \frac{2 x}{x}$

Divide $2$ by $1$ .

$\frac{- x - 1}{4} + 2$

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{- x - 1}{4} + 2 \cdot \frac{4}{4}$

Simplify terms.

Combine $2$ and $\frac{4}{4}$ .

$\frac{- x - 1}{4} + \frac{2 \cdot 4}{4}$

Combine the numerators over the common denominator.

$\frac{- x - 1 + 2 \cdot 4}{4}$

Simplify the numerator.

Multiply $2$ by $4$ .

$\frac{- x - 1 + 8}{4}$

Add $- 1$ and $8$ .

$\frac{- x + 7}{4}$

Simplify with factoring out.

Factor $- 1$ out of $- x$ .

$\frac{- (x) + 7}{4}$

Rewrite $7$ as $- 1 (- 7)$ .

$\frac{- (x) - 1 (- 7)}{4}$

Factor $- 1$ out of $- (x) - 1 (- 7)$ .

$\frac{- (x - 7)}{4}$

Simplify the expression.

Rewrite $- (x - 7)$ as $- 1 (x - 7)$ .

$\frac{- 1 (x - 7)}{4}$

Move the negative in front of the fraction.

$- \frac{x - 7}{4}$