1. **State the problem:** Solve the expression $4x + 8$ for $x$ if it is set equal to zero or another value. 2. **Formula and rules:** To solve a linear equation like $4x + 8 = 0$, we isolate $x$ by performing inverse operations. 3. **Step-by-step solution:** - Start with the equation: $$4x + 8 = 0$$ - Subtract 8 from both sides: $$4x = -8$$ - Divide both sides by 4: $$x = \frac{-8}{4}$$ - Simplify the fraction: $$x = -2$$ 4. **Explanation:** We moved the constant term to the other side by subtracting it, then divided by the coefficient of $x$ to isolate $x$. This gives the solution $x = -2$. **Final answer:** $$x = -2$$