(x + 4)/(x + 5) = (x - 5)/(2x - 5)
First recognise that you cannot divide by 0
so x cannot be -5 or -2.5
then
\(\frac{(x + 4)}{(x + 5)} =\frac{ (x - 5)}{(2x - 5)}\\ \frac{(x + 4)}{(x + 5)} *\frac{(2x-5)}{(2x-5)}=\frac{ (x - 5)}{(2x - 5)}*\frac{(x+5)}{(x+5)}\\ \text{Now the denominators are the same so the numerators must be equal}\\ (x+4)(2x-5)=(x-5)(x+5)\)
expand both sides independently, collect like terms etc