Respuesta :

2x+3=3x-5
They are equal since the perpendicular bisector cuts them perfectly in half
x=8

Answer:

   x = 8

Step-by-step explanation:

The halves of a bisected segment are congruent, so we have ...

  YZ = YX

  3x -5 = 2x +3

  x = 8 . . . . . . . . add 5-2x

__

Additional comment

The right triangles are congruent, so ...

  WZ = WX

  2y +7 = 5y -8

  15 = 3y

  5 = y