Question 227388
{{{(-3)/x}}} = {{{x/3}}}
The common denominator would be 3x, multiply both sides by 3x
(With single fractions on each side, you can cross multiply and do the same thing)
3x*{{{(-3)/x}}} = 3x*{{{x/3}}}
cancel the denominators
3(-3) = x*x
-9 = x^2
x = {{{sqrt(-9)}}}
x = {{{sqrt(-1*9)}}} 
square root of a negative presents a problem, we have to use i, the square root of -1
x = i*{{{sqrt(9)}}}
x = 3i
:
:
{{{2/((x-3))}}} + {{{3/((3-x))}}}
This is not an equation, we can only combine it into a single fraction
To add we have to have a common denominator, we can make this by multiplying
the 2nd denominator by -1, this changes the signs inside the brackets
{{{2/(x-3)}}} + {{{3/-1(x-3)}}}
divide the -1 into 3 and we have;
{{{2/(x-3)}}} + {{{(-3)/(x-3)}}} = {{{(2-3)/(x-3)}}} = {{{(-1)/(x-3)}}} = {{{-1/(x-3)}}}