The problem is to solve the equation $\frac{x}{2} + 7 = 3$ for $x$.

1. Problem Description

The problem is to solve the equation $\frac{x}{2} + 7 = 3$ for $x$.

2. Solution Steps

To solve the equation $\frac{x}{2} + 7 = 3$, we first isolate the term containing $x$ by subtracting 7 from both sides of the equation.

$\frac{x}{2} + 7 - 7 = 3 - 7$

$\frac{x}{2} = -4$

Now, we multiply both sides of the equation by 2 to solve for $x$.

$2 \times \frac{x}{2} = 2 \times (-4)$

$x = -8$

3. Final Answer

$x = -8$