To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $3z$ and $10x$ is $30xz$. Multiply $\frac{2z-3}{3z}$ times $\frac{10x}{10x}$. Multiply $\frac{3x+2}{10x}$ times $\frac{3z}{3z}$.
Since $\frac{\left(2z-3\right)\times 10x}{30xz}$ and $\frac{\left(3x+2\right)\times 3z}{30xz}$ have the same denominator, add them by adding their numerators.
Do the multiplications in $\left(2z-3\right)\times 10x+\left(3x+2\right)\times 3z$.
$$\frac{20zx-30x+9xz+6z}{30xz}+\frac{x-z}{5zx}$$
Combine like terms in $20zx-30x+9xz+6z$.
$$\frac{29zx-30x+6z}{30xz}+\frac{x-z}{5zx}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $30xz$ and $5zx$ is $30xz$. Multiply $\frac{x-z}{5zx}$ times $\frac{6}{6}$.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $3z$ and $10x$ is $30xz$. Multiply $\frac{2z-3}{3z}$ times $\frac{10x}{10x}$. Multiply $\frac{3x+2}{10x}$ times $\frac{3z}{3z}$.
Since $\frac{\left(2z-3\right)\times 10x}{30xz}$ and $\frac{\left(3x+2\right)\times 3z}{30xz}$ have the same denominator, add them by adding their numerators.
Do the multiplications in $\left(2z-3\right)\times 10x+\left(3x+2\right)\times 3z$.
$$\frac{20zx-30x+9xz+6z}{30xz}+\frac{x-z}{5zx}$$
Combine like terms in $20zx-30x+9xz+6z$.
$$\frac{29zx-30x+6z}{30xz}+\frac{x-z}{5zx}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $30xz$ and $5zx$ is $30xz$. Multiply $\frac{x-z}{5zx}$ times $\frac{6}{6}$.
