1. **State the problem:** We need to solve the equation step by step. Since the user did not specify a particular equation, let's consider a common example: Solve for $x$ in the equation $$2x + 3 = 7$$. 2. **Formula and rules:** To solve linear equations like this, we use the rule that whatever operation we do to one side, we must do to the other side to keep the equation balanced. 3. **Step 1: Subtract 3 from both sides** to isolate the term with $x$: $$2x + 3 - 3 = 7 - 3$$ which simplifies to $$2x = 4$$ 4. **Step 2: Divide both sides by 2** to solve for $x$: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{4}{2}$$ which simplifies to $$x = 2$$ 5. **Final answer:** The solution to the equation is $$x = 2$$. This method can be applied to similar linear equations to find the value of the unknown variable.