Solve for: `4/x-3=5/(2x+3),x!=0,,-3/2`

Explanation

To solve the equation \( \frac{4}{x} - 3 = \frac{5}{2x + 3} \), we will follow these steps:

### Step 1: Find a common denominator
The left-hand side (LHS) has a denominator of \( x \) and the right-hand side (RHS) has a denominator of \( 2x + 3 \). We can multiply both sides by the common denominator, which is \( x(2x + 3) \).

### Step 2: Multiply both sides by the common denominator
\[
\left( \frac{4}{x} - 3 \right) \cdot x(2x + 3) = \frac{5}{2x + 3} \cdot x(2x + 3)
...