Determine Whether the Given Values of the Variables Are Solutions $\left( x - \frac { 1 } { 2 } \right) + ( 2 x - 1 ) = 2 \left( x - \frac { 1 } { 2 } \right) - ( 1 - x ) + \frac { 1 } { 2 }$

Essay

Determine whether the given values of the variables are solutions of the equation. $\left( x - \frac { 1 } { 2 } \right) + ( 2 x - 1 ) = 2 \left( x - \frac { 1 } { 2 } \right) - ( 1 - x ) + \frac { 1 } { 2 }$
(a)
$x = \frac { 3 } { 2 }$
(b)
$x = \frac { 1 } { 2 }$