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Ответ

Автор - Millenum

Ответ:

1) x=3 ; 2)x=-2frac{2}{3} ; 3)x=-frac{3}{4}; 4)x=frac{5}{6}; 5)x=7frac{1}{2} ; 6)x=13 ; 7)x=-1frac{11}{40} ; 8)x=-12 ; 9)x=12,5 ; 10)x=18 ;

Пошаговое объяснение:

1)

frac{2*(4x-1)}{3} = 2x+frac{4}{3}

frac{8x-2}{3} -2x = frac{4}{3}

frac{8x}{3}-2x = frac{4}{3} + frac{2}{3} = frac{6}{3} = 2 умножаем на 3

frac{8x*3}{3} -2*3x  = 2*3

8x -6x = 6

2x = 6

x = 3

2)

frac{5*(3-2x)}{6} = x-frac{3}{2}

frac{15-10x)}{6} = x-frac{3}{2}

frac{15}{6} - frac{10x}{6}= x-frac{3}{2}

frac{10x}{6} + x = frac{3}{2} - frac{15}{6} = frac{9-15}{6} = frac{-6}{6} = -1 умножаем на 6

10x + 6x = -6

16x = -6

x= -frac{16}{6} = - 2frac{2}{3}

3)

frac{11*(x+1)}{2} = frac{1*(2-x)}{2}

frac{11x+11}{2} = frac{2-x}{2}

frac{11x}{2} + frac{11}{2}= frac{2}{2} - frac{x}{2} умножаем на 2

11x + 11= 2 - x

11x + x = 2 - 11 = -9

12x = -9

x = - frac{9}{12} = -frac{3}{4}

4)

frac{1*(4-frac{7x}{2})}{2} = frac{5x}{4} - frac{1}{2}

frac{4}{2} - frac{7x}{4} = frac{5x}{4} - frac{1}{2} умножаем на 4

8 - 7x = 5x - 2

12x = 10

x = frac{10}{12} = frac{5}{6}

5)

12 - 8x + 24 = 6 - 4x

4x = 30

x = frac{30}{4} = frac{15}{2} = 7frac{1}{2}

6)

1,5x - 2,1 = 0,6x + 9,6

0,9x = 11,7

x = frac{117*10}{10*9} = 13

7)

5 - (frac{6*3x}{2} + frac{6}{3}) = frac{7x}{3} - frac{11}{2}

5 - frac{18x}{2} - 2 = frac{7x}{3} - frac{11}{2}

3 - 9x = frac{7x}{3} - frac{11}{2}

9x - frac{7x}{3} = -3 - frac{11}{2}

frac{27x - 7x}{3} = frac{-6-11}{2}

frac{20x}{3} = frac{-17}{2} умножим на 6

20x*2 = -17*3

40x = -51

x = -frac{51}{40} = -1frac{11}{40}

8)

frac{25x}{72} - frac{9}{11} -frac{3x}{8} +frac{5}{9} = frac{7}{99}

frac{25x-3x*9}{72} = frac{7}{99} + frac{9}{11} - frac{5}{9} = frac{7+9*9-5*11}{99} = frac{33}{99} = frac{1}{3}

frac{-2x}{72} = frac{1}{3}

-frac{x}{36} = frac{1}{3}

x = -frac{36}{3} = -12

9)

2x + 1,5 = 1,4x + 9

0,6x = 7,5

x = frac{75*10}{10*6} = 12,5

10)

1,46 - frac{x}{5} - 0,86 + frac{2x}{9} = 1

 0,6 + frac{10x-9x}{45} = 1

 frac{x}{45} = 1 - 0,6 = 0,4 умножаем на 45

x = 0,4*45 = 18

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