1. x+ 2(3x-4) = 53 + 2x x + 6x - 8 = 53 + 2x x + 6x - 2x = 53 + 8 5x = 61 x = 12 ,2 2. x - (7+2x) = 2(x-1) + 1 x - 7 - 2x = 2x - 2 + 1 x - 2x - 2x = - 2 + 1 + 7 - 3x = - 6 x = 2 3. -3(x+6) - 6(2x+8) = -21 - 3x - 18 - 12x - 48 = - 21 - 15x = - 21 + 18 + 48 - 15x = 45 x = - 3 4. 5x-4/2 = 16x+1/7 5x - 16x = 17 + 4/2 - x = 17 + 2 - x = 19 x = - 19 5. x+6/2 - 5+x/3 = 2-x/6 x + 3 - 5 + 1/3x = 2 - 1/6x x + 1/3x + 1/6 x = 2 - 3 + 5 x + 2/6x + 1/6 x = 4 1 3/6x = 4 1 1/2x = 4 3/2x = 4 x = 4 : 3/2 x = 4 * 2/3 x= 8/3 x= 2 2/3 Nie jest jasne co na kresce ułamkowej>Jeżeli tak, to rozwiązanie następujące [latex] frac{x+6}{2} - frac{5 + x}{3} = frac{2 - x}{6} [/latex] [latex] frac{1}{2} x+3 - frac{5}{3} + frac{1}{3} x= frac{2}{6} - frac{1}{6} x[/latex] [latex] frac{1}{2} x + frac{1}{3} x+ frac{1}{6} x= frac{2}{6} - 3 + frac{5}{6} [/latex] [latex] frac{3}{6} x + frac{2}{6} x + frac{1}{6} x = - 3 + frac{7}{6} [/latex] [latex]x = - 3 + 1 frac{1}{6} [/latex] [latex]x= - 1 frac{5}{6} [/latex]
[latex]1). \ x+2(3x-4)=53+2x \ x+6x-8=53+2x \ 7x-2x=53+8 \ 5x=61/:5 \ x= frac{61}{5} \ x=12 frac{1}{5} \ \ 2). \ x-(7+2x)=2(x-1)+1 \ x-7-2x=2x-2+1 \ -x-2x=-1+7 \ -3x=6/:(-3) \ x=-2 \ \ 3). \ -3(x+6)-6(2x+8)=-21 \ -3x-18-12x-48=-21 \ -15x=-21+48+18 \ -15x=45/:(-15) \ x=-3 \ \ 4). \ frac{5x-4}{2} = frac{16x+1}{7} /*14 \ \ 7(5x-4)=2(16x+1) \ 35x-28=32x+2 \ 35x-32x=2+28 \ 3x=30/:3 \ x=10 \ \ 5). \ frac{x+6}{2} - frac{5+x}{3} = frac{2-x}{6} /*6 \ \ 3(x+6)-2(5+x)=2-x [/latex] [latex]3x+18-10-2x=2-x \ x+x=2+10-18 \ 2x=-6/:2 \ x=-3[/latex]
