we know that
LN=LM+MN -----> by addition segment postulate
substitute the given values
6x=(4x+8)+27
solve for x
6x=4x+35
6x-4x=35
2x=35
x=17.5
Find the value of LM
LM=4x+8
substitute the value of x
LM=4(17.5)+8
