Question

Solve 3 over x minus 3 equals the quantity of x over x minus 3, minus three-halves. for x and determine if the solution is extraneous or not.

Answer 1

$\frac{3}{x} -3 = \frac{x}{x} - \frac{3}{2}$
$3 -3x = x - \frac{3x}{2}$
$-6x -2x -x = 6$
$-9x=6$
$9x=6$
$x= \frac{6}{9}= \frac{2}{3}$