b) \( x-\frac{2 x}{3 x-2} \)

To simplify the expression \( x - \frac{2x}{3x - 2} \), you can start by finding a common denominator. The common denominator here is \( 3x - 2 \). Rewrite the expression as: \[ \frac{x(3x - 2)}{3x - 2} - \frac{2x}{3x - 2} = \frac{3x^2 - 2x - 2x}{3x - 2} = \frac{3x^2 - 4x}{3x - 2} \] You can further factor the numerator if needed! Additionally, it's interesting to note that rational expressions often appear in various real-life scenarios, such as physics when calculating rates or in economics while analyzing supply and demand curves. Simplifying such expressions can lead to more straightforward calculations and better understanding.