Answer: 12 units
Replace "units" with "feet", "meters", etc. if your teacher instructs it.
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Explanation:
M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.
So,
LM = MN
3x = 2x+2
3x-2x = 2
x = 2
Use this x value to then say
- LM = 3x = 3*2 = 6
- MN = 2x+2 = 2*2+2 = 4+2 = 6
Segments LM and MN are 6 units each.
From that, we know,
LN = LM+MN = 6+6 = 12
The distance from your house to your friends house is 12 units.