Which equation has no solution? A. X-5(x-4) = 2(2x + 7) + 6 B. 5(x + 1)-3x = 5-2(5-x) C. 1-3(x + 3) = 2(3x - 4) - 9x D. 3(x-4) + x = 4(3-x)

B. 5(x + 1) - 3x = 5 - 2(5 - x)

Step-by-step explanation:

A. x - 5(x - 4) = 2(2x + 7) + 6        Distribute -5 into parentheses

   x - 5x + 20 = 2(2x +7) + 6        Distribute 2 into parentheses

   x - 5x + 20 = 4x +14 + 6           Combine like terms (I underlined it to show)

   -4x + 20 = 4x + 20

   +4x           +4x                            Do Inverse operations

         20  = 8x + 20

        -20          - 20                       Do inverse operations

         0 = 8x

          =                           Divide by 8 on both sides to isolate the variable.

        0 = x

Solution is x = 0.

B. 5(x + 1) - 3x = 5 - 2(5 - x)           Distribute 5 into parentheses

   5x + 5 - 3x = 5 - 2(5 - x)            Distribute -2 into parentheses

   5x + 5 - 3x = 5 - 10 + 2x    Combine Like terms (I underlined the like terms)

   2x + 5 = -5 + 2x                        

        + 5    +5                               Do inverse operations

  2x + 10 = 2x    

 -2x          -2x                               Do inverse operations

          10 ≠ 0

No solution

C. 1 - 3(x+3) = 2(3x - 4) - 9x          Distribute -3 into parentheses

   1 - 3x - 9 = 2(3x - 4) - 9x           Distribute 2 into parentheses

   1 - 3x - 9 = 6x - 8 - 9x       Combine Like terms (I underlined the like terms)

   - 8 - 3x = -3x - 8              

        + 3x   +3x                            Do inverse operations

        - 8 = - 8

Solution = All real numbers

D.  3(x - 4) + x = 4(3 - x)               Distribute 3 into parentheses

     3x - 12 + x = 4(3 - x)                Distribute 4 into parentheses

     3x - 12 + x = 12 - 4x         Combine Like terms (I underlined the like terms)

     4x - 12 = 12 - 4x    

    +4x              + 4x                      Do inverse operations

    8x - 12 = 12  

        + 12  +12                              Do inverse operations

     8x  = 24  

        =                       Divide by 8 on both sides to isolate the variable

    x = 3

Solution is x = 3 .    

So the only equation that has no solution is B. 5(x + 1) - 3x = 5 - 2(5 - x).          

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.

14

step-by-step explanation: