Simplify 1/2x-x

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

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} - x$

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

$\frac{x}{2} - x \cdot \frac{2}{2}$

Simplify terms.

Combine $- x$ and $\frac{2}{2}$ .

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

Combine the numerators over the common denominator.

$\frac{x - x \cdot 2}{2}$

Simplify the numerator.

Factor $x$ out of $x - x \cdot 2$ .

Raise $x$ to the power of $1$ .

$\frac{x^{1} - x \cdot 2}{2}$

Factor $x$ out of $x^{1}$ .

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

Factor $x$ out of $- x \cdot 2$ .

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

Factor $x$ out of $x \cdot 1 + x (- 1 \cdot 2)$ .

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

Multiply $- 1$ by $2$ .

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

Subtract $2$ from $1$ .

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

Simplify the expression.

Move $- 1$ to the left of $x$ .

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

Move the negative in front of the fraction.

$- \frac{x}{2}$