Find AC? I assume you have a typo above?
BC = BA + AC
5x - 3 = 2x + 5 + AC
3x - 8 = AC
since A is the MP of BC and BA = 2x + 5
BC = 2(BA)
BC = 2(2x + 5)
BC = 4x + 10
BC = BC
5x - 3 = 4x + 10
x = 13
A is the midpoint of BC. BA=2x+5 and BC=5x-3. solve for x and find the length of BC
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