1. **State the problem:** Solve for all values of $x$ such that the equation holds true. 2. **General approach:** Since no specific equation is given, the general method to solve for $x$ depends on the type of equation (linear, quadratic, polynomial, trigonometric, etc.). 3. **Example:** Suppose the equation is $ax + b = 0$ (a linear equation). 4. **Formula:** To solve $ax + b = 0$, isolate $x$: $$x = -\frac{b}{a}$$ 5. **Important rules:** - Division by zero is undefined, so $a \neq 0$. - Check for extraneous solutions if the equation involves radicals or rational expressions. 6. **Intermediate work:** - Subtract $b$ from both sides: $$ax + b - b = 0 - b \Rightarrow ax = -b$$ - Divide both sides by $a$: $$x = \frac{-b}{a}$$ 7. **Explanation:** We isolate $x$ by performing inverse operations step-by-step, ensuring we maintain equality. 8. **Final answer:** $$x = -\frac{b}{a}$$ If you provide a specific equation, I can solve it explicitly.