Use Substitution to Determine Whether the Given X-Value Is a Solution

Use substitution to determine whether the given x-value is a solution of the equation.
Find All Solutions of a Trigonometric Equation
- $\tan x \sec x = - 2 \tan x$

A) $x = \frac { 2 \pi } { 3 } + 2 n \pi$ or $x = \frac { 4 \pi } { 3 } + 2 n \pi$ or $x = n \pi$
B) $x = \frac { 2 \pi } { 3 } + n \pi$ or $x = \frac { 4 \pi } { 3 } + n \pi$ or $x = n \pi$
C) $x = \frac { \pi } { 3 } + 2 n \pi$ or $x = \frac { 5 \pi } { 3 } + 2 n \pi$ or $x = n \pi$
D) $x = \frac { \pi } { 3 } + n \pi$ or $x = \frac { 5 \pi } { 3 } + n \pi$ or $x = n \pi$