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Bonjour,

1) 5x + 2 = 2x + 6

  5x - 2x = 6 - 2

  3x = 4

  x = 4/3

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

   4x + 6 = -2x + 14

   4x + 2x = 14 - 6

   6x = 8

    x = 8/6

   x = 4/3

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

   -12x - 9 = 2x+6

   -9 -6 = 2x + 12x

    -15 = 14x

    -15/14 = x

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

   (x+3)4 = (2x+1)3

  4x + 12 = 6x +3

   12 -3 = 6x -4x

   9 = 2x

    9/2 = x

    4,5 = x

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

  2x - 3 = (-5x + 1)3

  2x-3 = -15x + 3

  2x + 15x = 3 + 3

  17x = 6

    x =  6/17

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

   (3-4x)4 = (2x+1)5

   12 - 16x = 10x+5

   12 - 5 = 10x + 16x

   7 = 26x

   7/26 = x