To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2-x$ and $x$ is $x\left(-x+2\right)$. Multiply $\frac{x}{2-x}$ times $\frac{x}{x}$. Multiply $\frac{2-x}{x}$ times $\frac{-x+2}{-x+2}$.
Since $\frac{xx}{x\left(-x+2\right)}$ and $\frac{\left(2-x\right)\left(-x+2\right)}{x\left(-x+2\right)}$ have the same denominator, subtract them by subtracting their numerators.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2-x$ and $x$ is $x\left(-x+2\right)$. Multiply $\frac{x}{2-x}$ times $\frac{x}{x}$. Multiply $\frac{2-x}{x}$ times $\frac{-x+2}{-x+2}$.
Since $\frac{xx}{x\left(-x+2\right)}$ and $\frac{\left(2-x\right)\left(-x+2\right)}{x\left(-x+2\right)}$ have the same denominator, subtract them by subtracting their numerators.
