To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $3x$ and $2x$ is $6x$. Multiply $\frac{1}{3x}$ times $\frac{2}{2}$. Multiply $\frac{3}{2x}$ times $\frac{3}{3}$.
$$\frac{2}{6x}+\frac{3\times 3}{6x}-\frac{1}{x}$$
Since $\frac{2}{6x}$ and $\frac{3\times 3}{6x}$ have the same denominator, add them by adding their numerators.
$$\frac{2+3\times 3}{6x}-\frac{1}{x}$$
Do the multiplications in $2+3\times 3$.
$$\frac{2+9}{6x}-\frac{1}{x}$$
Do the calculations in $2+9$.
$$\frac{11}{6x}-\frac{1}{x}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $6x$ and $x$ is $6x$. Multiply $\frac{1}{x}$ times $\frac{6}{6}$.
$$\frac{11}{6x}-\frac{6}{6x}$$
Since $\frac{11}{6x}$ and $\frac{6}{6x}$ have the same denominator, subtract them by subtracting their numerators. Subtract $6$ from $11$ to get $5$.
