a) \( \frac{2 x}{3}-\frac{2}{5}=\frac{14}{15} \)

To solve the equation \( \frac{2 x}{3} - \frac{2}{5} = \frac{14}{15} \), first, let's eliminate the fractions by finding a common denominator. The least common multiple of 3, 5, and 15 is 15. Multiply each term by 15: \[ 15 \left( \frac{2 x}{3} \right) - 15 \left( \frac{2}{5} \right) = 15 \left( \frac{14}{15} \right) \] This simplifies to: \[ 10x - 6 = 14 \] Now, add 6 to both sides to isolate the term with \(x\): \[ 10x = 20 \] Next, divide by 10: \[ x = 2 \] So, the solution to the equation is \( x = 2 \).