1. **State the problem:** Solve the equation $2(x+3)-x=11$ for $x$. 2. **Write the formula and rules:** Use the distributive property and combine like terms to isolate $x$. 3. **Apply the distributive property:** $$2(x+3)-x = 2\cdot x + 2\cdot 3 - x = 2x + 6 - x$$ 4. **Combine like terms:** $$2x + 6 - x = (2x - x) + 6 = x + 6$$ 5. **Rewrite the equation:** $$x + 6 = 11$$ 6. **Isolate $x$ by subtracting 6 from both sides:** $$x + \cancel{6} - \cancel{6} = 11 - 6$$ 7. **Simplify:** $$x = 5$$ **Final answer:** $x=5$