1. **Stating the problem:** We need to solve the equation for the first question asked (since no explicit question was given, we assume a generic algebraic problem). 2. **Formula and rules:** For algebraic equations, the goal is to isolate the variable using inverse operations such as addition/subtraction and multiplication/division. 3. **Intermediate work:** Since no specific equation was provided, let's consider a simple example: Solve for $x$ in $2x + 3 = 7$. 4. **Step-by-step solution:** 1. Subtract 3 from both sides: $2x + 3 - 3 = 7 - 3$ which simplifies to $2x = 4$. 2. Divide both sides by 2: $\frac{2x}{2} = \frac{4}{2}$ which simplifies to $x = 2$. 5. **Explanation:** We used inverse operations to isolate $x$. First, we removed the constant term by subtracting 3, then we removed the coefficient of $x$ by dividing by 2. 6. **Final answer:** $x = 2$