1. **State the problem:** The problem is to find the value of $x$ that satisfies the equation $2x + 3 = 7$. 2. **Formula and rules:** To solve for $x$, we use the rule of isolating the variable by performing inverse operations. Here, we will subtract 3 from both sides and then divide both sides by 2. 3. **Step-by-step solution:** - Start with the equation: $$2x + 3 = 7$$ - Subtract 3 from both sides: $$2x + 3 - 3 = 7 - 3$$ which simplifies to $$2x = 4$$ - Divide both sides by 2: $$\frac{2x}{2} = \frac{4}{2}$$ which simplifies to $$x = 2$$ 4. **Explanation:** We first removed the constant term 3 by subtracting it from both sides to keep the equation balanced. Then, we divided both sides by the coefficient of $x$, which is 2, to isolate $x$. The solution is $x = 2$. **Final answer:** $$x = 2$$