To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $5$ and $6$ is $30$. Multiply $\frac{3x+5}{5}$ times $\frac{6}{6}$. Multiply $\frac{5x-7}{6}$ times $\frac{5}{5}$.
Do the multiplications in $6\left(3x+5\right)-5\left(5x-7\right)$.
$$\frac{18x+30-25x+35}{30}-\frac{x+2}{3}$$
Combine like terms in $18x+30-25x+35$.
$$\frac{-7x+65}{30}-\frac{x+2}{3}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $30$ and $3$ is $30$. Multiply $\frac{x+2}{3}$ times $\frac{10}{10}$.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $5$ and $6$ is $30$. Multiply $\frac{3x+5}{5}$ times $\frac{6}{6}$. Multiply $\frac{5x-7}{6}$ times $\frac{5}{5}$.
Do the multiplications in $6\left(3x+5\right)-5\left(5x-7\right)$.
$$\frac{18x+30-25x+35}{30}-\frac{x+2}{3}$$
Combine like terms in $18x+30-25x+35$.
$$\frac{-7x+65}{30}-\frac{x+2}{3}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $30$ and $3$ is $30$. Multiply $\frac{x+2}{3}$ times $\frac{10}{10}$.
