## anonymous 5 years ago Solve for x: 4x divided by x-3 = 2 + 12 divided by x-3 ...?

1. watchmath

Is that correct that the numerator of the right side is 2+12? or is that 2x+12 ?

2. anonymous

yes it's correct. but the 2 is not part of the numerator..just the 12

3. watchmath

So is it like this? $$\frac{4x}{x-3}=2+\frac{12}{x-3}$$

4. anonymous

yes.

5. watchmath

Ok, multiply the equation by $$x-3$$ we get $$4x=2(x-3)+12$$ $$4x=2x-6+12$$ $$2x=6$$ $$x=3$$ But if we plug in back $$x=3$$ to the original equation we are in trouble because we divide by zero. So the equation has no solution!.

6. anonymous

Thanks!