Rozwiąż równania: a) 18x - 49 = 6x+39 b) 4x-11- (x-6) = 3(x-1)-2 c)12(x-3)+1 = -4(x+2)-5 d)½ x - 3 = ⅔(x+6) e)2+[latex]frac{4x-5}{4}=x+3[/latex] f)[latex]frac{x}{2}+frac{x}{3}+1=x[/latex] g)[latex]frac{1}{2}(18x-6)=frac{3}{4}(8x-2frac{2}{3}[/latex]  

a) 18x - 49 = 6x+39 18x - 6x = 39 + 49 12x = 88 x = 88/12 = 22/3 x = 7 i 1/3   b) 4x-11- (x-6) = 3(x-1)-2 4x - 11 - x + 6 = 3x - 3 - 2 3x - 5 = 3x - 5 3x - 3x = -5 + 5 0 = 0 równanie posiada nieskonczenie wiele rozwiazan   c) 12(x-3)+1 = -4(x+2)-5 12x - 36 + 1 = -4x - 8 - 5 12x - 35 = -4x - 13 12x + 4x = -13 + 35 16x = 22 x = 22/16 x = 11/8 x = 1 i 3/8   d) ½ x - 3 = ⅔(x+6) 1/2x - 3 = 2/3x + 12/3 1/2x - 2/3x = 4 + 3 3/6x - 4/6x = 7 -1/6x = 7 x = - 42   e) 2 + (4x - 5)/4 = x + 3     /*4 8 + 4x - 5 = 4x + 12 4x - 4x = 12 - 3 0 = 9 (sprzecznosć) równanie nie posiada rozwiazania   f) x/2 + x/3 + 1 = x         /*6 3x + 2x + 6 = 6x 5x - 6x = - 6 -x = -6 x = 6   g) .................................    /*4 2(18x - 6) = 3(8x - 8/3) 36x - 12 = 24x - 8 36x - 24x = -8 + 12 12x = 4 x = 4/12 x = 1/3