Resuelve ésta ecuación :4x + 6 = 8x + 5 - 7x?

2(3x + 3) - 4(5x - 3) = x(x - 3) - x(x + 5)

6x + 6 - 20x + 12 = x² - 3x - x² - 5x - 14x + 18 = - 8x

18 = - 8x + 14x

18 = 6x

6x = 18

x = 18 / 6

x = 3

4.

184 - 7(2x + 5) = 301 + 6(x - 1) - 6

184 - 14x - 35 = 301 + 6x - 6 - 6 - 14x + 149 = 6x + 289

149 - 289 = 6x + 14x - 140 = 20x

20x = - 140

x = - 140 / 20

x = - 7

5.

7(18 - x) - 6(3 - 5x) = - (7x + 9) - 3(2x + 5) - 12

126 - 7x - 18 + 30x = - 7x - 9 - 6x - 15 - 12

23x + 108 = - 13x - 36

23x + 13x = - 36 - 108

36x = - 144

x = - 4

6.

3x(x - 3) + 5(x + 7) - x(x + 1) - 2(x² + 7) + 4 = 0

3x² - 9x + 5x + 35 - x² - x - 2x² - 14 + 4 = 0 - 5x + 25 = 0

25 = 5x

5x = 25

x = 25 / 5

x = 5

7.

- 3(2x + 7) + ( - 5x + 6) - 8(1 - 2x) - (x - 3) = 0 - 6x - 21 - 5x + 6 - 8 + 16x - x + 3 = 0

4x - 20 = 0

4x = 20

x = 20 / 4

x = 5

8.

(3x - 4)(4x - 3) = (6x - 4)(2x - 5)

12x² - 9x - 16x + 12 = 12x² - 30x - 8x + 20

12x² - 25x + 12 = 12x² - 38x + 20 - 25x + 38x = 20 - 12

13x = 8

x = 8 / 13

9.

(4 - 5x)(4x - 5) = (10x - 3)(7 - 2x)

16x - 20 - 20x² + 25x = 70x - 20x² - 21 + 6x

41x - 20 = 76x - 21

21 - 20 = 76x - 41x

1 = 35x

35x = 1

x = 1 / 35

10.

(x + 1)(2x + 5) = (2x + 3)(x - 4) + 5

2x² + 5x + 2x + 5 = 2x² - 8x + 3x - 12 + 5

7x + 5 = - 5x - 7

7x + 5x = - 7 - 5

13x = - 13

x = - 13 / 13

x = - 1

11.

(x - 2)² - (3 - x)² = 1

x² - 4x + 4 - (9 - 6x + x²) = 1

x² - 4x + 4 - 9 + 6x - x² = 1

2x - 5 = 1

2x = 1 + 5

2x = 6

x = 6 / 2

x = 3

12.

14 - (5x - 1)(2x + 3) = 17 - (10x + 1)(x - 6)

14 - (10x² + 15x - 2x - 3) = 17 - (10x² - 60x + x - 6)

14 - (10x² + 13x - 3) = 17 - (10x² - 59x - 6)

14 - 10x² - 13x + 3 = 17 - 10x² + 59x + 6

17 - 13x = 17 + 59x + 6

17 - 17 - 6 = 59x + 13x - 6 = 72x

72x = - 6

x = - 6 / 72

x = - 1 / 12

13.

(x - 2)² + x(x - 3) = 3(x + 4)(x - 3) - (x + 2)(x - 1) + 2

(x² - 4x + 4) + (x² - 3x) = 3(x² - 3x + 4x - 12) - (x² - x + 2x - 2) + 2

(x² - 4x + 4) + (x² - 3x) = 3(x² + x - 12) - (x² + x - 2) + 2

x² - 4x + 4 + x² - 3x = 3x² + 3x - 36 - x² - x + 2 + 2

2x² - 7x + 4 = 2x² + 2x - 32

4 + 32 = 2x + 7x

36 = 9x

9x = 36

x = 36 / 9

x = 4

14.

(3x - 1)² - 5(x - 2) - (2x + 3)² - (5x + 2)(x - 1) = 0

(9x² - 6x + 1) - (5x - 10) - (4x² + 12x + 9) - (5x² - 5x + 2x - 2) = 0

(9x² - 6x + 1) - (5x - 10) - (4x² + 12x + 9) - (5x² - 3x - 2) = 0

9x² - 6x + 1 - 5x + 10 - 4x² - 12x - 9 - 5x² + 3x + 2 = 0 - 20x + 4 = 0

4 = 20x

20x = 4

x = 1 / 5

15.

2(x - 3)² - 3(x + 1)² + (x - 5)(x - 3) + 4(x² - 5x + 1) = 4x² - 12

2(x² - 6x + 9) - 3(x² + 2x + 1) + (x² - 3x - 5x + 15) + 4(x² - 5x + 1) = 4x² - 12

2(x² - 6x + 9) - 3(x² + 2x + 1) + (x² - 8x + 15) + 4(x² - 5x + 1) = 4x² - 12

(2x² - 12x + 18) - (3x² + 6x + 3) + (x² - 8x + 15) + (4x² - 20x + 4) = 4x² - 12

2x² - 12x + 18 - 3x² - 6x - 3 + x² - 8x + 15 + 4x² - 20x + 4 = 4x² - 12 - 22x + 34 = 12

34 - 12 = 22x

22 = 22x

22x = 22

x = 22 / 22

x = 1

16.

5(x - 2)² - 5(x + 3)² + (2x - 1)(5x + 2) - 10x² = 0

5(x² - 4x + 4) - 5(x² + 6x + 9) + (10x² + 4x - 5x - 2) - 10x² = 0

5[(x² - 4x + 4) - (x² + 6x + 9)] + (10x² - x - 2) - 10x² = 0

5[x² - 4x + 4 - x² - 6x - 9] + 10x² - x - 2 - 10x² = 0

5[ - 10x - 5] - x - 2 = 0 - 50x - 25 - x - 2 = 0 - 51x - 27 = 0 - 27 = 51x

51x = - 27

x = - 27 / 51

x = - 9 / 17

17.

X² - 5x + 15 = x(x - 3) - 14 + 5(x - 2) + 3(13 - 2x)

x² - 5x + 15 = (x² - 3x) - 14 + (5x - 10) + (39 - 6x)

x² - 5x + 15 = x² - 3x - 14 + 5x - 10 + 39 - 6x - 5x + 15 = - 4x + 15

15 - 15 = - 4x + 5x

0 = x

x = 0

18.

3(5x - 6)(3x + 2) - 6(3x + 4)(x - 1) - 3(9x + 1)(x - 2) = 0

3(15x² + 10x - 18x - 12) - 6(3x² - 3x + 4x - 4) - 3(9x² - 18x + x - 2) = 0

3[(15x² + 10x - 18x - 12) - (9x² - 18x + x - 2)] - 6(3x² - 3x + 4x - 4) = 0

3[15x² + 10x - 18x - 12 - 9x² + 18x - x + 2] - 6(3x² + x - 4) = 0

3[6x² + 9x - 10] - 6(3x² + x - 4) = 0

3[6x² + 9x - 10] - (3·2)(3x² + x - 4) = 0

3[6x² + 9x - 10] - 3(6x² + 2x - 8) = 0

3[6x² + 9x - 10 - (6x² + 2x - 8)] = 0

3[6x² + 9x - 10 - 6x² - 2x + 8] = 0

3[7x - 2] = 0

7x - 2 = 0 / 3

7x - 2 = 0

7x = 2

x = 2 / 7

19.

7(x - 4)² - 3(x + 5)² = 4(x + 1)(x - 1) - 2

7(x² - 8x + 16) - 3(x² + 10x + 25) = 4(x² - x + x - 1) - 2

7(x² - 8x + 16) - 3(x² + 10x + 25) = 4(x² - 1) - 2

(7x² - 56x + 112) - (3x² + 30x + 75) = (4x² - 4) - 2

7x² - 56x + 112 - 3x² - 30x - 75 = 4x² - 4 - 2 - 86x + 37 = - 6

37 + 6 = 86x

43 = 86x

86x = 43

x = 43 / 86

x = 1 / 2

20.

5(1 - x)² - 6(x² - 3x - 7) = x(x - 3) - 2x(x + 5) - 2

5(1 - 2x + x²) - 6(x² - 3x - 7) = (x² - 3x) - 2(x² + 5x) - 2

(5 - 10x + 5x²) - (6x² - 18x - 42) = (x² - 3x) - (2x² + 10x) - 2

5 - 10x + 5x² - 6x² + 18x + 42 = x² - 3x - 2x² - 10x - 2

8x + 47 = - 13x - 2

8x + 13x = - 2 - 47

21x = - 49

x = - 49 / 21

x = - 7 / 3.