Final answer:
To solve the given equation x+2/x+4=x+3/x, we can cross multiply, expand, rearrange, and combine like terms to find the solution as x = -12/5.
Step-by-step explanation:
The given equation is:
x+2/x+4=x+3/x
To solve this equation, we can cross multiply:
(x+2)(x) = (x+4)(x+3)
Expanding and rearranging the equation:
x^2 + 2x = x^2 + 7x + 12
Combining like terms:
-5x = 12
Dividing both sides by -5:
x = -12/5
So, the solution to the equation is x = -12/5.