multiple choice value of x

Q34.
If BE is the bisector of AD then:
2x - 5 = 5x - 20 |+5
2x = 5x - 15 |-5x
-3x = -15 |:(-3)
x = 5
Q35.
If BE is the bisector of AD, then
5x + 4 = 2x + 7 |-4
5x = 2x + 3 |-2x
3x = 3 |:3
x = 1
Bisect means to cut something into two equal halves. This means that the two lengths are the same.
34.) [tex]2x - 5 = 5x - 20[/tex]
First isolate the variable. Add 5 to both sides:
[tex]2x = 5x - 15[/tex]
Now subtract 5x from both sides:
[tex]-3x = -15[/tex]
x = 5
35.) [tex]5x + 4 = 2x + 7[/tex]
--> [tex]5x = 2x + 7 - 4[/tex]
---> [tex]5x = 2x + 3[/tex]
----> [tex]5x - 2x = 3[/tex]
-----> [tex]3x = 3[/tex]
So x = 1