1. The problem is to solve the equation $2x + 3 = 7$ for $x$. 2. We use the basic algebraic principle of isolating the variable $x$ by performing inverse operations. 3. First, subtract 3 from both sides to get $2x = 7 - 3$. 4. Simplify the right side: $2x = 4$. 5. Next, divide both sides by 2 to isolate $x$: $x = \frac{4}{2}$. 6. Simplify the fraction: $x = 2$. 7. Therefore, the solution to the equation is $x = 2$.