Use the distributive property to multiply $7$ by $x+3$.
$$\frac{7x+21}{2}+5\times \frac{2x-5}{3}$$
Express $5\times \frac{2x-5}{3}$ as a single fraction.
$$\frac{7x+21}{2}+\frac{5\left(2x-5\right)}{3}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $3$ is $6$. Multiply $\frac{7x+21}{2}$ times $\frac{3}{3}$. Multiply $\frac{5\left(2x-5\right)}{3}$ times $\frac{2}{2}$.
Use the distributive property to multiply $7$ by $x+3$.
$$\frac{7x+21}{2}+5\times \frac{2x-5}{3}$$
Express $5\times \frac{2x-5}{3}$ as a single fraction.
$$\frac{7x+21}{2}+\frac{5\left(2x-5\right)}{3}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $3$ is $6$. Multiply $\frac{7x+21}{2}$ times $\frac{3}{3}$. Multiply $\frac{5\left(2x-5\right)}{3}$ times $\frac{2}{2}$.
