1. **State the problem:** Solve the equation $2x + 6 = 15$. 2. **Use the formula and rules:** To solve for $x$, isolate $x$ by performing inverse operations. Subtract 6 from both sides, then divide both sides by 2. 3. **Intermediate work:** $$2x + 6 = 15$$ Subtract 6 from both sides: $$2x = 15 - 6$$ $$2x = 9$$ Divide both sides by 2: $$x = \frac{9}{2}$$ $$x = 4.5$$ 4. **Explanation:** We first remove the constant term on the left side by subtracting 6. Then, since $x$ is multiplied by 2, we divide both sides by 2 to isolate $x$. The solution is $x = 4.5$. **Final answer:** $x = 4.5$