Question 58559
Write (2x - 3) /(2x - 1) - 3x as a rational expression. 
{{{(2x-3)/(2x-1)-3x}}}  The LCD is 2x-1, whatever you do to the denominator, you have to do to the numerator.
{{{(2x-3)/(2x-1)-3x(2x-1)/(2x-1)}}}  Now that they have the same denominator they can be written as a single rational expression.
{{{((2x-3)-3x(2x-1))/(2x-1)}}}  Simplify
{{{(2x-3-6x^2+3x)/(2x-1)}}}
{{{(-6x^2+5x-3)/(2x-1)}}}
Happy Calculating!!!