We know that JL has two parts JK and KL. JL is equal to the sum of these two parts.
JL = JK + KL
Let's plug the expressions from the picture into the equation above.
2x + 8 = 2x - 2+ x - 9
Combine like terms
2x + 8 = 3x - 11
Add 11 to both sides and subtract 2x from both sides.
19 = x
KL = x - 9 = 19 - 9 = 10
In conclusion,
The value of x = 19
The length of line segment KL is 10