Let's solve the given equation step by step:

Start by simplifying the left side of the equation:
5x + 19 - 36 = 5x - 17

Simplify the right side of the equation:
970 - (2x + 4) = 970 - 2x - 4 = 966 - 2x

Simplify the equation:
5x - 17 = 966 - 2x

Combine like terms by adding 2x to both sides:
5x + 2x - 17 = 966
7x - 17 = 966

Add 17 to both sides to isolate the variable x:
7x = 966 + 17
7x = 983

Finally, divide by 7 to solve for x:
x = 983 / 7
x = 140

Therefore, the solution to the equation 72:(5x+19-36)=970-(2x+4):4=65 is x = 140.