Question: User: 7(x+6)+18 = 9(x+1)-3
1. **State the problem:** Solve the equation $$7(x+6)+18 = 9(x+1)-3$$ for $x$.
2. **Write down the equation:** $$7(x+6)+18 = 9(x+1)-3$$
3. **Apply the distributive property:**
$$7 \times x + 7 \times 6 + 18 = 9 \times x + 9 \times 1 - 3$$
which simplifies to
$$7x + 42 + 18 = 9x + 9 - 3$$
4. **Combine like terms on each side:**
$$7x + 60 = 9x + 6$$
5. **Bring all terms involving $x$ to one side and constants to the other:**
$$7x - 9x = 6 - 60$$
6. **Simplify both sides:**
$$\cancel{7x} - 9x = 6 - 60$$
$$-2x = -54$$
7. **Divide both sides by $-2$ to solve for $x$:**
$$x = \frac{-54}{-2}$$
8. **Simplify the fraction:**
$$x = 27$$
**Final answer:** $$x = 27$$