To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $6$ and $5$ is $30$. Multiply $\frac{x}{6}$ times $\frac{5}{5}$. Multiply $\frac{3x-1}{5}$ times $\frac{6}{6}$.
$$\frac{5x}{30}+\frac{6\left(3x-1\right)}{30}$$
Since $\frac{5x}{30}$ and $\frac{6\left(3x-1\right)}{30}$ have the same denominator, add them by adding their numerators.
$$\frac{5x+6\left(3x-1\right)}{30}$$
Do the multiplications in $5x+6\left(3x-1\right)$.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $6$ and $5$ is $30$. Multiply $\frac{x}{6}$ times $\frac{5}{5}$. Multiply $\frac{3x-1}{5}$ times $\frac{6}{6}$.
$$\frac{5x}{30}+\frac{6\left(3x-1\right)}{30}$$
Since $\frac{5x}{30}$ and $\frac{6\left(3x-1\right)}{30}$ have the same denominator, add them by adding their numerators.
$$\frac{5x+6\left(3x-1\right)}{30}$$
Do the multiplications in $5x+6\left(3x-1\right)$.