Question

What is the value of x?

x+5     x+1
----- = ------
x          x-2

Answer 1

`(x+5)/(x)= (x+1)/(x-2) \\ \\ (x+5)(x-2)=x(x+1) \\ x^(2) -2x+5x-10= x^(2) +x \\ 5x-2x-x=10 \\ 2x=10 \\ x= (10)/(2) \\ x=5 \\`
Answer: 5.

Answer 2

(x+5)/x = (x+1)/(x-2)

(x+5)(x-2) = x(x+1)
x^2 + 3x - 10 = x^2 + 1

x^2 (-x^2) + 3x - 10 (+10) = x^2 (-x^2) + 1 (+10)
3x = 11
3x/3 = 11/3

x = 11/3

hope this helps