A) [tex]1/5x + 10 = 2(1/10x+20) = [/tex] no solution
B) [tex]1/4x - 2 = -1/2(4-1/2x) =[/tex] infinite solutions
C) [tex]1/3x + 12 =5(1/3x +12) = [/tex] x = -36
D) [tex]1/2x - 6= - 1/5(30 -10x) = [/tex] x = 0
[tex]\fbox {B)}[/tex] has infinite solutions, which is your answer.