Solve and check your solution. \[ \begin{array}{l}\frac{x}{2}+6=9 \\ x=\square \text { (Type an integer or a simplified fraction.) }\end{array} \]

To solve the equation \(\frac{x}{2} + 6 = 9\), we first need to isolate \(x\). 1. Subtract 6 from both sides: \[ \frac{x}{2} + 6 - 6 = 9 - 6 \implies \frac{x}{2} = 3 \] 2. Now, multiply both sides by 2 to get rid of the fraction: \[ 2 \cdot \frac{x}{2} = 2 \cdot 3 \implies x = 6 \] Now, let's check the solution by substituting \(x = 6\) back into the original equation: \[ \frac{6}{2} + 6 = 9 \implies 3 + 6 = 9 \] Since both sides equal 9, our solution is verified. So, the final answer is: \[ x = 6 \]