To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $3$ is $6$. Multiply $\frac{x-3}{2}$ times $\frac{3}{3}$. Multiply $\frac{x-2}{3}$ times $\frac{2}{2}$.
Do the multiplications in $3\left(x-3\right)+2\left(x-2\right)$.
$$\frac{3x-9+2x-4}{6}-\frac{x+1}{4}$$
Combine like terms in $3x-9+2x-4$.
$$\frac{5x-13}{6}-\frac{x+1}{4}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $6$ and $4$ is $12$. Multiply $\frac{5x-13}{6}$ times $\frac{2}{2}$. Multiply $\frac{x+1}{4}$ times $\frac{3}{3}$.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $3$ is $6$. Multiply $\frac{x-3}{2}$ times $\frac{3}{3}$. Multiply $\frac{x-2}{3}$ times $\frac{2}{2}$.
Do the multiplications in $3\left(x-3\right)+2\left(x-2\right)$.
$$\frac{3x-9+2x-4}{6}-\frac{x+1}{4}$$
Combine like terms in $3x-9+2x-4$.
$$\frac{5x-13}{6}-\frac{x+1}{4}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $6$ and $4$ is $12$. Multiply $\frac{5x-13}{6}$ times $\frac{2}{2}$. Multiply $\frac{x+1}{4}$ times $\frac{3}{3}$.
