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 + 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

Answer 2

$\frac{x+5}{x}= \frac{x+1}{x-2} \\ \\ (x+5)(x-2)=x(x+1) \\ x^{2} -2x+5x-10= x^{2} +x \\ 5x-2x-x=10 \\ 2x=10 \\ x= \frac{10}{2} \\ x=5$
Answer: 5.