Question: User: $|x|+1=2$
1. **State the problem:** Solve the equation $$|x| + 1 = 2$$ for $x$.
2. **Understand the absolute value:** The absolute value $|x|$ represents the distance of $x$ from zero on the number line, so it is always non-negative.
3. **Isolate the absolute value:** Subtract 1 from both sides:
$$|x| + 1 - 1 = 2 - 1$$
$$|x| = 1$$
4. **Solve the absolute value equation:** The equation $|x| = 1$ means $x$ can be either 1 or -1.
5. **Write the solution:**
$$x = 1 \quad \text{or} \quad x = -1$$
**Final answer:** $x = \pm 1$