The diagram is showing the length of each line segment.
• NM has length 110 + 4x
• ML has length x + 103 (this is the one you have to find)
• LK has length 70
• NK has length x + 243
The segment NK has length equal to the sum of the lengths of NM, ML, and LK. So we have
x + 243 = (110 + 4x) + (x + 103) + 70
Solve this equation for x :
x + 243 = (110 + 103 + 70) + (4x + x)
x + 243 = 283 + 5x
x - 5x = 283 - 243
-4x = 40
x = 40/(-4)
x = -10
Now solve for x + 103 by adding 103 to this result:
x + 103 = -10 + 103 = 93
So ML has length 93.