To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $x$ and $5x-3$ is $x\left(5x-3\right)$. Multiply $\frac{3}{x}$ times $\frac{5x-3}{5x-3}$. Multiply $\frac{2}{5x-3}$ times $\frac{x}{x}$.
Since $\frac{3\left(5x-3\right)}{x\left(5x-3\right)}$ and $\frac{2x}{x\left(5x-3\right)}$ have the same denominator, add them by adding their numerators.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $x\left(5x-3\right)$ and $\left(5x-3\right)\left(5x+3\right)$ is $x\left(5x-3\right)\left(5x+3\right)$. Multiply $\frac{17x-9}{x\left(5x-3\right)}$ times $\frac{5x+3}{5x+3}$. Multiply $\frac{1-85x}{\left(5x-3\right)\left(5x+3\right)}$ times $\frac{x}{x}$.
Since $\frac{\left(17x-9\right)\left(5x+3\right)}{x\left(5x-3\right)\left(5x+3\right)}$ and $\frac{\left(1-85x\right)x}{x\left(5x-3\right)\left(5x+3\right)}$ have the same denominator, add them by adding their numerators.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $x$ and $5x-3$ is $x\left(5x-3\right)$. Multiply $\frac{3}{x}$ times $\frac{5x-3}{5x-3}$. Multiply $\frac{2}{5x-3}$ times $\frac{x}{x}$.
Since $\frac{3\left(5x-3\right)}{x\left(5x-3\right)}$ and $\frac{2x}{x\left(5x-3\right)}$ have the same denominator, add them by adding their numerators.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $x\left(5x-3\right)$ and $\left(5x-3\right)\left(5x+3\right)$ is $x\left(5x-3\right)\left(5x+3\right)$. Multiply $\frac{17x-9}{x\left(5x-3\right)}$ times $\frac{5x+3}{5x+3}$. Multiply $\frac{1-85x}{\left(5x-3\right)\left(5x+3\right)}$ times $\frac{x}{x}$.
Since $\frac{\left(17x-9\right)\left(5x+3\right)}{x\left(5x-3\right)\left(5x+3\right)}$ and $\frac{\left(1-85x\right)x}{x\left(5x-3\right)\left(5x+3\right)}$ have the same denominator, add them by adding their numerators.
