math hw algebra 1 9th grade

Question

2x-3/x-4=2/3

i need to solve for x

Answer 1

I am going to assume you mean 2x - 3/(x-4) = 2/3

First multiply by (x-4) to get: 2x(x-4) - 3 = (2/3)(x-4)

Now multiply by 3

6x(x-4) - 9 = 2(x-4)

6x² - 24x - 9 = 2x -8

6x² - 26x - 1 =0

This is solved by quadratic formula to x = (26±10√7)/12...but I am not sure whether you know the quadratic formula yet. If not, I have to ask whether you submitted the question correctly.