Réponse :

Explications étape par étape

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Résoudre :

3x + 4 = 5x - 2

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

4 + 2 = 2x - 2 + 2

6 = 2x

2x/2 = 6/2

x = 3

-3x + 4 = 3x - 7

-3x + 4 + 3x = 3x - 7 + 3x

4 = 6x - 7

4 + 7 = 6x - 7 + 7

11 = 6x

6x/6 = 11/6

x = 11/6

-12x + 5 = 4x + 17

-12x + 5 + 12x = 4x + 17 + 12x

5 - 17 = 16x + 17 - 17

-12 = 16x

16x/16 = -12/16

x = -3/4

x + 5 = -4x - 12

x + 5 + 4x = -4x - 12 + 4x

5x + 5 - 5 = -12

5x = -12

5x/5 = -12/5

x = -12/5

2x + 8 = -4x + 3

2x + 8 + 4x = -4x + 3 + 4x

6x + 8 - 8 = 3 - 8

6x = -5

6x/6 = -5/6

x = -5/6

5x - 9 = -5x + 17

5x - 9 + 5x = -5x + 17 + 5x

10x - 9 = 17

10x - 9 + 9 = 17 + 9

10x = 26

10x/10 = 26/10

x = 2,6

2/3 x + 5/4 = 7/3 x - 1/4

5/4 + 1/4 = 7/3 x - 2/3 x

6/4 = 5/3 x

3/2 = 5/3 x

x = 3/2 * 3/5

x = 9/10

3/4 x - 5/4 = -7/6 x + 1/6

3/4 x + 7/6 x = 1/6 + 5/4

9/12 x + 14/12 x = 2/12 + 15/12

23/12 x = 17/12

x = 17/12 * 12/23

x = 17/23

7/3 x + 9/5 = 3/5 x + 4/3

7/3 x - 3/5 x = 4/3 + 9/5

35/15 x - 9/15 x = 20/15 + 27/15

26/15 x = 47/15

x = 47/15 * 15/26

x = 47/26

2(3x + 5) - (5x^2 + 2) = x(-5x + 3) + 3(7x + 3)

6x + 10 - 5x^2 - 2 = -5x^2 + 3x + 21x + 9

5x^2 - 5x^2 + 8 - 9 = 24x - 6x

-1 = 18x

x = -1/18