Respuesta :

3x - 2 = 16, add 2 to both sides which leaves the equation as 3x = 18. divide 3 by both sides, x = 6.

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 :

[tex]3x-2=16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

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

[tex]3x-2=16\\\\\Rightarrow 3x=16+2\\\\\Rightarrow 3x=18\\\\\Rightarrow x=\dfrac{18}{3}\\\\\Rightarrow x=6.[/tex]

Thus, the required solution is x = 6.

Option (D) is CORRECT.