5/x-6 = x/x-2

how do I solve this

Let's solve your equation step-by-step. 5x-6=xx-25x+-6=xx+-2

Multiply all terms by x and cancel:

5+-6x=x+-2x-6x+5=-x (Simplify both sides of the equation) -

6x+5+x=-x+x (Add x to both sides)

-5x+5=0-5x+5-5=0-5

(Subtract 5 from both sides) - 5x=-5-5x-5=-5-5

(Divide both sides by - 5)

x = 1Check answers. (Plug them in to make sure they work.)

x=1 (Works in original equation)

Answer: x=1