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How to find the length of the unknown segment

How to find the length of the unknown segment-example-1
User Penina
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Since C is the midpoint, AC and CB equal one another. So set the equation to 5x+2 = 3x+12. Solve
-3x -3x
2x+2 =12
-2 -2
2x = 10
X equals 5
User Ksnortum
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