$\text { Solve the following equation for } x \text {. }$

$\text { Solve the following equation for } x \text {. }$ $\arccos ( 10 x - \pi ) = \frac { 1 } { 2 }$

A) $x = \frac { \sin \left( \pi + \frac { 1 } { 2 } \right) } { 10 }$
B) $x = \frac { \pi + \sec \left( \frac { 1 } { 2 } \right) } { 10 }$
C) $x = \frac { \sec \left( \pi + \frac { 1 } { 2 } \right) } { 10 }$
D) $x = \frac { \cos \left( \pi + \frac { 1 } { 2 } \right) } { 10 }$
E) $x = \frac { \pi + \cos \left( \frac { 1 } { 2 } \right) } { 10 }$