x                         5 ¯¯¯¯¯¯¯¯  +3 =¯¯¯¯¯¯¯¯ 3- x               2x-6  

x                         5 ¯¯¯¯¯¯¯¯  +3 =¯¯¯¯¯¯¯¯ 3- x               2x-6     Z: 3 - x "różne" od 0   Z: x "należy" do R {3}   x/(3 - x) + 3 = 5/2(x - 3)   2x/2(3 - x) + 3*2(3 - x)/2(3 - x) = 5/2(x - 3)    2x/2(3 - x) + 6(3 - x)/2(3 - x) =  - 5/2(3 - x) / *2(3 - x)   2x + 6(3 - x) = - 5   2x - 6x + 18 = - 5   - 4x = - 5 - 18   - 4x = - 23 /:( - 4)   x = 23/4   x = 5,75 

[latex]\frac{x}{3-x}+3=frac{5}{2x-6}\ frac{x}{3-x}-frac{5}{2x-6}=-3\ frac{2x}{6-2x}+frac{5}{6-2x}=-3\ 2x+5=-3(6-2x)\ 2x+5=-18+6x\ 2x-6x=-18-5\ -4x=-23\ x=frac{23}{4}=5frac{3}{4} [/latex]

      x               5 ¯¯¯¯ +3 =¯¯¯¯¯ 3- x           2x-6 x _____            5__ (3 - x) + 3 = 2(x - 3)   2x/2(3 - x) + 3*2(3 - x)/2(3 - x) = 5/2(x - 3)   2x/2(3 - x) + 6(3 - x)/2(3 - x) =  - 5/2(3 - x) / *2(3 - x)   2x + 6(3 - x) = - 5   2x - 6x + 18 = - 5   - 4x = - 5 - 18   - 4x = - 23 /:( - 4)   x = 23/4   x = 5,75     3-x=0 -x=-3/(-1) x=3   2x-6=0 2x=6/2 x=3 D=R/{3}