Answer: the correct option is
(D) x = 6.
Step-by-step explanation: We are given to select the correct solution of the following linear equation :
![3x-2=16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/flz3o1p9g4zko71fqz1cypltomlqvqx70r.png)
To solve the given equation, we must take all the terms involving x on one side and the other terms on the other side of the equation.
From equation (i), we have
![3x-2=16\\\\\Rightarrow 3x=16+2\\\\\Rightarrow 3x=18\\\\\Rightarrow x=(18)/(3)\\\\\Rightarrow x=6.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/zji2bt41hka0b941jdo04yrnlgxvwvsv4g.png)
Thus, the required solution is x = 6.
Option (D) is CORRECT.