If the solution of the equation 2x-7k = 5 (x-k) - 4 about X is nonnegative, find the value of positive integer K

If the solution of the equation 2x-7k = 5 (x-k) - 4 about X is nonnegative, find the value of positive integer K

2x-7k=5x-5k-4
-3x=2k-4
x=(2k-4)/(-3)
=(4-2k)/3
If the solution is nonnegative, then (4-2k) / 3 ≥ 0
4-2k≥0
2k≤4
k≤2
K is a positive integer, so k = 1 or 2