If B is the midpoint of AC, then |AB| = |AC|. |AB| = 3x + 2 |BC| = 5x - 10 Therefore we have the equation: 3x + 2 = 5x - 10 |subtract 2 from both sides 3x = 5x - 12 |subtract 5x from both sides -2x = -12 |divide both sides by (-2) x = 6
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