LM is equal to 7.
In order to find this, we need to first set LM and MN equal to each other since M is the midpoint of LN.
LM = MN
3x - 2 = 2x + 1
x - 2 = 1
x = 3
Now that we know x = 3 we can find the value of LM by plugging in to the problem.
LM = 3x - 2
LM = 3(3) - 2
LM = 9 - 2
LM = 7
