Answer
$x=-\frac{15}{19}$
Work Step by Step
$\displaystyle \frac{12x-5}{6x+3}=2-\frac{5}{x}$
We multiply both sides by $x(6x+3)$:
$(12x-5)x=2x(6x+3)-5(6x+3)$
And distribute:
$12x^{2}-5x=12x^{2}+6x-30x-15$
And simplify:
$12x^{2}-5x=12x^{2}-24x-15$
And combine $x$ terms:
$19x=-15$
And solve for $x$:
$x=-\frac{15}{19}$
