Problem: Solve for $x$ in $2x+3=7$. 1. Write the equation: $2x+3=7$. 2. Subtract 3 from both sides: $2x=7-3$. 3. Simplify: $2x=4$. 4. Divide both sides by 2: $x=\frac{4}{2}$. 5. Simplify: $x=2$. Final answer: $x=2$.