Writing a mathematical expression
An equation is another way to express a real situation.
In this case, "eight years after a house was constructed, a patio was added" means that the patio is 8 years "younger" than the house. It has 8 years less than the house.
The house is x years old, the patio is 8 years less than x.
Then, the patio is
x - 8
Answer: x - 8