Solve the following equation. \[ 6 x+6=30 \] Select the correct choice below and, if necessary, fill in the answer box. A. The solution is \( \square \) . (Type an integer or a simplified fraction.) B. The solution set is \( (-\infty, \infty) \). C. There is no solution.

To solve the equation \(6x + 6 = 30\), we first subtract 6 from both sides: \[ 6x = 30 - 6 \] \[ 6x = 24 \] Next, we divide both sides by 6: \[ x = \frac{24}{6} \] \[ x = 4 \] So, the correct choice is A. The solution is \( 4 \). --- Did you know that algebra has been around for over a thousand years? The word "algebra" comes from the Arabic term "al-jabr," which means "the reunion of broken parts." This subject was heavily developed by mathematicians during the Islamic Golden Age, making it possible for us to solve equations like this one! When solving equations, it’s easy to make mistakes, especially when handling operations with negatives or fractions. Always double-check each step! It helps to write down what you’re doing clearly; one common mistake is forgetting to apply operations correctly across the equation, which can lead to incorrect solutions.