Number of real roots of the equation x+x−(1−x) = 1  is

x−(1−x)=1−x  ⇒  x− 1−x = 1+x−2x   ⇒ −1−x = 1−2x 1-x=1+4x - 4x  ⇒ 4x = 5x ⇒ x = 0, x=1625 x = 0 does not satisfy the given equation