Solve for X, given BD=3x+5 and AE=4x+20

B is the midpoint of segment AC and D is the midpoint of segment CE. Solve for x, given BD=3x+5 and AE=4x+20

1 answer

Draw a diagram.

Note that AE is divided into two pairs of equal lengths. BD contains one of each pair.

So, BD is half the length of AE.

2(3x+5) = 4x+20
x = 5