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Verified Answer :

bcalle

midpoint means each piece is equal to the other.
4x - 10 = 3x - 5
x - 10 = -5
x = 5

notice the picture included here

B is the Midpoint, is the Middle way of AC
meaning, it cuts AC in two "equal segments"
namely, AB = BC

thus
3x-5  =  4x -10    <---- solve for "x"

View image jdoe0001

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