Question: User: -2(x + 10) = 92
1. **State the problem:** Solve the equation $$-2(x + 10) = 92$$ for $$x$$.
2. **Use the distributive property:** Multiply $$-2$$ by each term inside the parentheses:
$$-2 \times x = -2x$$
$$-2 \times 10 = -20$$
So the equation becomes:
$$-2x - 20 = 92$$
3. **Isolate the term with $$x$$:** Add $$20$$ to both sides to cancel $$-20$$:
$$-2x - 20 + 20 = 92 + 20$$
$$-2x = 112$$
4. **Solve for $$x$$:** Divide both sides by $$-2$$:
$$\frac{-2x}{\cancel{-2}} = \frac{112}{\cancel{-2}}$$
$$x = -56$$
5. **Final answer:** $$x = -56$$