In the figure,

is the perpendicular bisector of
.

If the length of
is 2x and the length of
is 3x āˆ’ 5, the value of x is
.

Since is the perpendicular bisector of , it cuts the side in half. Thus, the length of is x and the length of is also x.

Since the length of is 2x, we have 2x = x. Solving this equation, we get x = 0.

However, this does not make sense since the length of a line segment cannot be 0.

Therefore, there is no value of x that satisfies the given conditions.