Fractional Inverse Equations: solve the equation f(x)= 5x+7/3x+6 for Y

[thejadylady]

How would I solve the equation f(x)= 5x+7/3x+6 for Y?
I know you're supposed to change f(x) to Y and then swap X and Y's places, but there are 2 X's in this equation.
What do I do?
Thanks

 

[pka]

How would I solve the equation f(x)= 5x+7/3x+6 for Y?
I know you're supposed to change f(x) to Y and then swap X and Y's places, but there are 2 X's in this equation.
What do I do?

If \(\displaystyle x=\dfrac{5y+7}{3y+6}\) then \(\displaystyle y=\dfrac{7-6x}{3x-5}\). HOW?