1. **State the problem:** Solve the equation given (though the exact equation is not provided, we assume a general algebraic equation to solve). 2. **Formula and rules:** To solve an algebraic equation, isolate the variable on one side using inverse operations such as addition, subtraction, multiplication, and division. 3. **Intermediate work:** Since no specific equation is provided, here is a general example: Solve for $x$ in $2x + 3 = 7$. 4. Subtract 3 from both sides: $$2x + 3 - 3 = 7 - 3$$ $$2x = 4$$ 5. Divide both sides by 2: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{4}{2}$$ $$x = 2$$ 6. **Explanation:** We used inverse operations to isolate $x$. First, we removed the constant term by subtracting 3, then we divided by the coefficient of $x$ to solve for $x$. **Final answer:** $x = 2$