Respuesta :
Answer: the correct option is (D) [tex]x=\dfrac{k-11}{3}.[/tex]
Step-by-step explanation: We are given to solve the following equation for the value of x :
[tex]3x+11=k~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given equation for x, we need to take x on one side and all other terms on the other side of the equality.
The solution of equation (i) is as follows :
[tex]3x+11=k\\\\\Rightarrow 3x=k-11\\\\\Rightarrow x=\dfrac{k-11}{3}.[/tex]
Thus, the required value of x is [tex]x=\dfrac{k-11}{3}.[/tex]
Option (D) is CORRECT.