Let's first solve the first equation:

9(143-13x)=232
Distribute the 9 on the left side:
1287 - 117x = 232
Subtract 1287 from both sides:
-117x = -1055
Divide by -117 on both sides:
x = 9

Now let's solve the second equation:

17(5x-16)=238
Distribute the 17 on the left side:
85x - 272 = 238
Add 272 to both sides:
85x = 510
Divide by 85 on both sides:
x = 6

Therefore, the solution set is x = 9 and x = 6.