Question 129842
{{{3-2x(x-1)=x(3-2x)-(x-3)}}}


First use the distributive property and remove parentheses.  Pay particular attention to the signs:
{{{3-2x^2+2x=3x-2x^2-x+3}}}


Collect like terms on the left:
{{{3-2x^2+2x=2x-2x^2+3}}}


Now add {{{-(2x-2x^2+3)}}} to both sides, leaving you with 0 on the left:
{{{3-2x^2+2x-2x+2x^2-3=0}}}


Collect like terms:
{{{3-2x^2+2x-2x+2x^2-3=0}}}


{{{0=0}}}


Since the result is always true, that means that the equation is true for all real numbers.