1. **State the problem:** Solve the equation $5x + 5 = 0$ for $x$ and check if $x=2$ is a solution. 2. **Write the equation:** $$5x + 5 = 0$$ 3. **Isolate $x$:** Subtract 5 from both sides: $$5x = -5$$ 4. **Divide both sides by 5:** $$x = \frac{-5}{5} = -1$$ 5. **Check if $x=2$ is a solution:** Substitute $x=2$ into the original equation: $$5(2) + 5 = 10 + 5 = 15 \neq 0$$ So, $x=2$ is not a solution. 6. **Final answer:** The solution to $5x + 5 = 0$ is $x = -1$.