To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2x$ and $x-2$ is $2x\left(x-2\right)$. Multiply $\frac{5}{2x}$ times $\frac{x-2}{x-2}$. Multiply $\frac{x+1}{x-2}$ times $\frac{2x}{2x}$.
Since $\frac{5\left(x-2\right)}{2x\left(x-2\right)}$ and $\frac{\left(x+1\right)\times 2x}{2x\left(x-2\right)}$ 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 $2x$ and $x-2$ is $2x\left(x-2\right)$. Multiply $\frac{5}{2x}$ times $\frac{x-2}{x-2}$. Multiply $\frac{x+1}{x-2}$ times $\frac{2x}{2x}$.
Since $\frac{5\left(x-2\right)}{2x\left(x-2\right)}$ and $\frac{\left(x+1\right)\times 2x}{2x\left(x-2\right)}$ have the same denominator, subtract them by subtracting their numerators.
