Which of the following equations have exactly one solution? Choose all answers that apply:
A. −5x+12=−12x−12
B. −5x+12=5x+12
C. −5x+12=5x−5
D. −5x+12=−5x−12

A, B, & C

Step-by-step explanation:

A: -5x +12 = -12x - 12

    +12x        +12x

    7x + 12 = -12

         -12     -12

            7x = -24                 [Divide both sides by 7 to get x]

              x = -24/7

B: −5x + 12 = 5x + 12

   -5x            -5x

    -10x + 12 = 12

            -12     -12

            -10x = 0                   [Divide both sides by -10 to get x]

                 x = 0

C: −5x + 12 = 5x − 5

    -5x           -5x

    -10x + 12 = -5

            -12      -12

           -10x = -17                  [Divide both sides by -10 to get x]

               x = 17 / 10

D: −5x + 12 = −5x − 12

    +5x           +5x

              12 ≠ -12         [The statement is false, so it isn't the correct answer]

9x