Answer
$$-\frac{5x}{3\left(2x-7\right)}$$
Work Step by Step
To simplify the fraction, we first simplify the numerator and the denominator. Then, we simplify the overall expression:
$$\frac{\frac{x}{6}-\frac{x}{3}}{\frac{x}{5}-\frac{7}{10}} \\ \frac{-\frac{x}{6}}{\frac{2x-7}{10}} \\ \frac{x\cdot \:10}{6\left(x\cdot \:2-7\right)} \\ -\frac{5x}{3\left(2x-7\right)}$$
