Which of the following equations has exactly one solution?

A. −3x+8=−3x−8

B. 3x−8=3x+8

C. −3x−8=3x−8

D. 3=−8x+3

1 answer

Option B. 3x-8=3x+8 has exactly one solution.

To see why, we can simplify the equation:

3x - 8 = 3x + 8

Subtracting 3x from both sides:

-8 = 8

This is clearly false, which means that there is no solution.

But wait! We made a mistake when simplifying the equation - we forgot to cancel out the 3x terms!

So let's try again:

3x - 8 = 3x + 8

Subtracting 3x from both sides:

-8 = 8

Adding 8 to both sides:

0 = 16

This is still false, which means that there is no solution.

Therefore, we can conclude that none of the equations from the given options has exactly one solution.