Which equation has only one solution? |x – 5| = –1 |–6 – 2x| = 8 |5x + 10| = 10 |–6x + 3| = 0

|x| = a

if a < 0 then equation hasn't solution
if a = 0 then equation has one solution x = 0
if a > 0 then equation has two solution x = -a and x = a

Therefore your answer is |–6x + 3| = 0


|–6x + 3| = 0 ↔ -6x + 3 = 0    |-3
-6x = -3    |:(-6)
x = 0.5
 

Wow. that is a really cool question.