Simplify -2/(-2/x)

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

Multiply the numerator by the reciprocal of the denominator.

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

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{x}{2}$ into the numerator.

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

Cancel the common factor.

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

Rewrite the expression.

$- - x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$1 x$

Multiply $x$ by $1$ .

$x$