1. **State the problem:** We need to solve the given algebraic problem step-by-step, showing all intermediate work and explanations. 2. **Identify the formula or approach:** Since the exact problem is not specified, let's assume a general algebraic equation to solve, for example, solving for $x$ in a linear equation $ax + b = 0$. 3. **Explain important rules:** To solve for $x$, we isolate $x$ by performing inverse operations. Addition/subtraction and multiplication/division are used to isolate the variable. 4. **Intermediate work:** - Start with the equation: $$ax + b = 0$$ - Subtract $b$ from both sides: $$ax + b - b = 0 - b$$ - Simplify: $$ax = -b$$ - Divide both sides by $a$: $$\frac{\cancel{a}x}{\cancel{a}} = \frac{-b}{a}$$ - Simplify: $$x = \frac{-b}{a}$$ 5. **Explanation:** We first remove the constant term $b$ by subtracting it from both sides. Then, to isolate $x$, we divide both sides by the coefficient $a$. The cancellation shows the division of $a$ on both numerator and denominator. 6. **Final answer:** $$x = \frac{-b}{a}$$ This is the general solution for a linear equation in one variable.