If a, b, and c are three different numbers, which of the following equations has exactly one solution? A) ax+b=ax+c
B) ax=bc+c
C) ax+b=ax+b

the correct answer would be c

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal

this "question" looks more like a project is there any other info you can give me about this. it could be too complex for someone else to do on this website