Find the Values Of $x$ Such That the Vectors $( 2 x , x , 5 )$

Multiple Choice

Find the values of $x$ such that the vectors $( 2 x , x , 5 )$ and $( 4 , x , 3 )$ are orthogonal. Select the correct answer.

A) $x = - 5 , x = - 3$
B) $x = 5 , x = - 5$
C) $x = - 5 , x = 3$
D) $x = 3 , x = - 3$
E) $x = 5 , x = 3$