Solve the Complex Equation: 130÷(10/2x)-(23x-204)

To solve the given expression $130 : \frac{10}{2x} - (23x - 204)$, follow these steps:

• Firstly, simplify the fraction $\frac{10}{2x}$ to get $\frac{5}{x}$.
• Next, perform the division $130 \div \frac{5}{x}$. This is equivalent to multiplying $130$ by the reciprocal, resulting in $130 \times \frac{x}{5}$. Simplify this to get $26x$.
• The expression now becomes $26x - (23x - 204)$.
• Distribute the negative sign inside the parentheses to get $26x - 23x + 204$.
• Simplify by combining like terms, which yields $3x + 204$.

Therefore, the solution to the problem is $3x + 204$. This matches option 1 from our choices, confirming it as the correct answer.