simplify fully!

3x-2/x+4 = 18-4x/x^2-16 - 3x+2/4-x

show all of your steps pleasee !!

2 answers

i need help asap
Do you mean you want to solve the equation?

(3x-2)/(x+4) = (18-4x)/(x^2-16) - (3x+2)/(4-x)

You need a common denominator. Since x^2-16 = (x-2)(x+2), then assuming x ≠ ±4,

(3x-2)(x-4) = (18-4x) + (3x+2)(x+4)

Now you can rearrange terms to get

-6(4x+3) = 0

so, x = -3/4