SAT Question f5ff91b2: Linear Equations In One Variable answer and explanation with Desmos solution

Choice B is correct. Multiplying both sides of the given equation by $(7)(9)$, or $63$, yields $(63)\left(\frac{x-5}{7}\right)=(63)\left(\frac{x-5}{9}\right)$, or $9(x-5)=7(x-5)$. Subtracting $7(x-5)$ from both sides of this equation yields $2(x-5)=0$. Dividing both sides of this equation by $2$ yields $x-5=0$. Therefore, if $\frac{x-5}{7}=\frac{x-5}{9}$, then the value of $x-5$ is $0$. It follows that of the given choices, the value of $x-5$ is between $-3$ and $3$.