Question

State true or false:

If $\frac{6x-5}{x+5}=\frac{x}{3}-5$, then $x$ is $30$ or $2$.

• A. True
• B. False

Answer 1

The correct option is B False

$\frac{6x-5}{x+5}=\frac{x}{3}-5$
$\frac{6x-5}{x+5}=\frac{x-15}{3}$
$18x-15=(x+5)(x-15)$
$18x-15=x^2-10x-75$
$x^2-28x-60=0$
$x^2-30x+2x-60=0$
$(x-30)(x+2)=0$
$x=30,-2$