507*(5203-5197)+80109:9*7=

To solve the expression \( 507*(5203-5197)+80109:9*7 \), we will follow the order of operations (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

1. Calculate the expression inside the parentheses: \[ 5203 - 5197 = 106 \]

2. Now substitute this back into the expression: \[ 507 * 106 + 80109 : 9 * 7 \]

3. Perform the multiplication: \[ 507 * 106 = 53742 \]

4. Next, handle the division: \[ 80109 : 9 = 8890 \]

5. Now substitute this value back into the expression: \[ 53742 + 8890 * 7 \]

6. Now perform the multiplication: \[ 8890 * 7 = 62230 \]

7. Finally, add the results: \[ 53742 + 62230 = 115972 \]

Thus, the final answer is: \[ \boxed{115972} \]