@CPhill or @Hecitar

Is this the given equation?

$\frac{5x}{x-3}\,=\,8+\frac{12}{x-3}$

                                               Multiply through by  x - 3

5x   =  8(x - 3) + 12

5x   =  8x - 24 + 12

5x   =  8x - 12

-3x  =  -12

x  =  4

Looking at the options.....

5x = 8 + 12  is true because it simplifies to  x = 4  .

And.... the first one is right if it is meant to be  5x = 8(x - 3) + 12