First equation:

3(x-5) = x+3
Distribute the 3 to both terms inside the parentheses:

3x - 15 = x + 3
Combine like terms by subtracting x from both sides:

2x - 15 = 3
Add 15 to both sides:

2x = 18
Divide by 2:

x = 9

Second equation:

7(x+6) = 4(5x+4)
Distribute the 7 and 4 to the terms inside the parentheses:

7x + 42 = 20x + 16
Subtract 7x from both sides:

42 = 13x + 16
Subtract 16 from both sides:

26 = 13x
Divide by 13:

x = 2

Therefore, the solution to the system of equations is x = 9.