To solve the equation \( 36x - 19 = 53 \), we need to identify the operations involved:
-
Addition to isolate the term with \( x \):
- We would add \( 19 \) to both sides to move the constant to the other side of the equation.
-
Division to solve for \( x \):
- After simplifying, we would divide by \( 36 \) to solve for \( x \).
Therefore, the correct operations needed to solve the problem are addition and division. The answer is:
addition and division.