Question

(x - 5) (x + 5) - $(x - 3)^{2}$ = x - 9

Answer 1

x²-5²-(x²-6x+9)=x-9
x²-25-x²+6x-9=x-9
6x-x=25-9
5x=16
x=16/5

Answer 2

$\displaystyle (x-5)(x+5)-(x-3)^2=x-9 \\ x^2-25-(x^2-2 \cdot x \cdot 3+3^2)=x-9 \\ x^2-25-(x^2-6x+9)=x-9 \\ x^2-25-x^2+6x-9=x-9 \\ x^2-x^2+6x-x=-9+25+9 \\ 5x=25 \\ x= \frac{25}{5} \\ x=5$