To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $4$ is $4$. Multiply $\frac{x}{2}$ times $\frac{2}{2}$.
$$\frac{2x}{4}-\frac{3x}{4}+\frac{5x}{6}$$
Since $\frac{2x}{4}$ and $\frac{3x}{4}$ have the same denominator, subtract them by subtracting their numerators.
$$\frac{2x-3x}{4}+\frac{5x}{6}$$
Combine like terms in $2x-3x$.
$$\frac{-x}{4}+\frac{5x}{6}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4$ and $6$ is $12$. Multiply $\frac{-x}{4}$ times $\frac{3}{3}$. Multiply $\frac{5x}{6}$ times $\frac{2}{2}$.
