1. **State the problem:** Solve the equation $$-6 + \frac{x}{2} = -3$$ for $x$. 2. **Isolate the variable term:** Add 6 to both sides to move the constant term. $$-6 + \frac{x}{2} + 6 = -3 + 6$$ which simplifies to $$\frac{x}{2} = 3$$ 3. **Eliminate the fraction:** Multiply both sides by 2 to solve for $x$. $$2 \times \frac{x}{2} = 3 \times 2$$ Show cancelation: $$\cancel{2} \times \frac{x}{\cancel{2}} = 6$$ which simplifies to $$x = 6$$ 4. **Final answer:** The solution to the equation is $$x = 6$$