Find the value of x for which ABCD must be a parallelogram.

Step-by-step explanation:
If ABCD is a parallelogram,
Then AD=BC
[tex]2x + 3 = 3x - 5[/tex]
[tex]2x - 3x = - 5 - 3[/tex]
[tex] - x = - 8[/tex]
[tex]x = 8[/tex]
Answer:
x=8
Step-by-step explanation:
A parallelogram has opposite sides equal and parallel,
Therefore, BC=AD
[tex]BC= 3x-5\\AD=2x+3\\\\BC=AD\\\\3x-5=2x+3\\\\[/tex]
Subtracting '2x' both side:
[tex]3x-2x-5=3\\\\x-5=3[/tex]
Adding '5' both sides:
[tex]x=3+5\\\\x=8[/tex]
For the parallelogram, the value of 'x' is 8.