SOLUTION: Solve for x given BD = 4x + 3 and AE = 5x + 24. Assume B is the midpoint of segment AC and D is the midpoint of segment CE.

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Question 1132617: Solve for x given BD = 4x + 3 and AE = 5x + 24. Assume B is the midpoint of segment AC and D is the midpoint of segment CE.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

BD+=+4x+%2B+3 and
AE+=+5x+%2B+24
If you were to draw this out, AE would be twice the length of BD, so you would start with:
2%284x%2B3%29+=+5x%2B24+
8x%2B6+=+5x%2B24+
8x-5x+=+24-6+
3x+=+18+
x+=+18%2F3+
x+=+6+