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
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