To add or subtract expressions, expand them to make their denominators the same. Multiply $1$ times $\frac{3}{3}$.
$$\frac{6x+1}{3}+\frac{3}{3}-\frac{x+3}{6}$$
Since $\frac{6x+1}{3}$ and $\frac{3}{3}$ have the same denominator, add them by adding their numerators.
$$\frac{6x+1+3}{3}-\frac{x+3}{6}$$
Combine like terms in $6x+1+3$.
$$\frac{6x+4}{3}-\frac{x+3}{6}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $3$ and $6$ is $6$. Multiply $\frac{6x+4}{3}$ times $\frac{2}{2}$.
$$\frac{2\left(6x+4\right)}{6}-\frac{x+3}{6}$$
Since $\frac{2\left(6x+4\right)}{6}$ and $\frac{x+3}{6}$ have the same denominator, subtract them by subtracting their numerators.
$$\frac{2\left(6x+4\right)-\left(x+3\right)}{6}$$
Do the multiplications in $2\left(6x+4\right)-\left(x+3\right)$.
To add or subtract expressions, expand them to make their denominators the same. Multiply $1$ times $\frac{3}{3}$.
$$\frac{6x+1}{3}+\frac{3}{3}-\frac{x+3}{6}$$
Since $\frac{6x+1}{3}$ and $\frac{3}{3}$ have the same denominator, add them by adding their numerators.
$$\frac{6x+1+3}{3}-\frac{x+3}{6}$$
Combine like terms in $6x+1+3$.
$$\frac{6x+4}{3}-\frac{x+3}{6}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $3$ and $6$ is $6$. Multiply $\frac{6x+4}{3}$ times $\frac{2}{2}$.
$$\frac{2\left(6x+4\right)}{6}-\frac{x+3}{6}$$
Since $\frac{2\left(6x+4\right)}{6}$ and $\frac{x+3}{6}$ have the same denominator, subtract them by subtracting their numerators.
$$\frac{2\left(6x+4\right)-\left(x+3\right)}{6}$$
Do the multiplications in $2\left(6x+4\right)-\left(x+3\right)$.
