To solve the equation 5-3=2 by adding 11 to both sides, we will perform the following steps:
1. Start with the original equation: 5-3=2.
2. Add 11 to both sides of the equation: 5-3+11=2+11.
3. Simplify each side of the equation: 5+11-3=13.
4. Further simplify both sides: 16-3=13.
5. Finally, calculate the remaining subtraction: 13=13.
Therefore, by adding 11 to both sides of the equation, we have simplified it to 13=13, showing that the equation is true.