Which of the following represents the solution of \( \frac{3}{2}=\frac{3}{2 x}-\frac{6}{5 x} ? \)

To solve the equation \( \frac{3}{2}=\frac{3}{2 x}-\frac{6}{5 x} \), first, we want to eliminate the fractions. Start by finding a common denominator for the right side, which is \( 10x \). The equation becomes: \[ \frac{3 \cdot 5}{10} = \frac{3 \cdot 5 - 6 \cdot 2}{10x} \] This simplifies to: \[ \frac{15}{10} = \frac{15 - 12}{10x} \] So, rewriting it gives us: \[ \frac{15}{10} = \frac{3}{10x} \] Cross-multiplying gives: \[ 15 \cdot 10x = 3 \cdot 10 \] Which simplifies to: \[ 150x = 30 \] Dividing both sides by 150 results in: \[ x = \frac{30}{150} = \frac{1}{5} \] So, the solution is \( x = \frac{1}{5} \).