What is the solution to the rational equation 3 over x - 2 = 2 over x -3

i just dont understand this one at all

Question

What is the solution to the rational equation 3 over x - 2 = 2 over x -3

i just dont understand this one at all

anonymous · Answer

3   =      2
--          --
x-2        x-3

we can get rid of the fractions by multiply each term by the lcm of x-2 and x-3 which is (x-2)(x-3)

3(x-2)(x-3)            2(x-2)(x-3)
 --------       =     ---------
    (x-2)                      x-3 
    
   3(x-3) = 2(x-2)
 3x -9 = 2x - 4

the rest is easy

anonymous · Answer

add 3x to the other side to get x and then -4 to the other side -5
x=-5?

anonymous · Answer

positive 5

anonymous · Answer

right

anonymous · Answer

you can solve any fractional equation by this method