1. Let's start by understanding the problem: you want a simple and detailed explanation for solving algebraic problems. 2. A common type of algebra problem is solving linear equations, for example, $ax + b = 0$. 3. The formula to solve for $x$ is derived by isolating $x$ on one side: $$x = -\frac{b}{a}$$ where $a \neq 0$. 4. Important rules: - You can add or subtract the same number from both sides. - You can multiply or divide both sides by the same nonzero number. 5. Example: Solve $3x + 6 = 0$. 6. Subtract 6 from both sides: $$3x + 6 - 6 = 0 - 6 \Rightarrow 3x = -6$$ 7. Divide both sides by 3: $$\frac{3x}{3} = \frac{-6}{3} \Rightarrow x = -2$$ 8. So, the solution is $x = -2$. This step-by-step approach helps you understand how to isolate the variable and solve the equation clearly.