To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2\left(x+y\right)$ and $3\left(x+y\right)$ is $6\left(x+y\right)$. Multiply $\frac{x}{2\left(x+y\right)}$ times $\frac{3}{3}$. Multiply $\frac{2}{3\left(x+y\right)}$ times $\frac{2}{2}$.
Since $\frac{3x}{6\left(x+y\right)}$ and $\frac{2\times 2}{6\left(x+y\right)}$ 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 $2\left(x+y\right)$ and $3\left(x+y\right)$ is $6\left(x+y\right)$. Multiply $\frac{x}{2\left(x+y\right)}$ times $\frac{3}{3}$. Multiply $\frac{2}{3\left(x+y\right)}$ times $\frac{2}{2}$.
Since $\frac{3x}{6\left(x+y\right)}$ and $\frac{2\times 2}{6\left(x+y\right)}$ have the same denominator, subtract them by subtracting their numerators.
