Task 263
Task 263: test task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Solve for $x,$ where \ \frac{x}{x - a} + \frac{x - b}{x - a - b} = \frac{x - a}{x - 2a} + \frac{x + a - b}{x - b}.\ Assume that $2a x b a 0.$
The task
Solve for $x,$ where \[\frac{x}{x - a} + \frac{x - b}{x - a - b} = \frac{x - a}{x - 2a} + \frac{x + a - b}{x - b}.\]Assume that $2a > x > b > a > 0.$