Answer:
[tex]x=14[/tex]
Step-by-step explanation:
The diagonals of all parallelograms bisect each other. Therefore, we have the following equation:
[tex]2x+10=5x-32[/tex]
Solving for [tex]x[/tex]:
[tex]2x+10=5x-32,\\42=3x,\\x=\boxed{14}[/tex]
