1. **State the problem:** Solve the inequality $-5 + x \neq -3$ for $x$.
2. **Write the inequality:**
$$-5 + x \neq -3$$
3. **Isolate $x$ by adding 5 to both sides:**
$$-5 + x + 5 \neq -3 + 5$$
$$\cancel{-5} + x + \cancel{5} \neq 2$$
$$x \neq 2$$
4. **Interpretation:** The solution means $x$ can be any value except 2.
**Final answer:**
$$x \neq 2$$
Solve Inequality 828603
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