Réponse :
1) 4x - 2 = 5x - 3
4x - 2 + 3 = 5x - 3 + 3
4x + 1 = 5x
4x - 4x + 1 = 5x - 4x
1 = x
2) 6 + 8x = 4x - 1
6 + 8x - 6 = 4x - 1 - 6
8x = 4x - 7
8x - 4x = 4x - 7 - 4x
4x = -7
4x/4 = -7/4
x = -7/4
3) 6x - 7 = 9 + 14x
6x - 7 + 7 = 9 + 14x + 7
6x = 16 + 14x
6x - 14x = 16 + 14x - 14x
-8x = 16
-8x / -8 = 16 / -8
x = -2
4) 3x + 2 = 5 - 7x
3x + 2 - 2 = 5 - 7x - 2
3x = 3 - 7x
3x + 7x = 3 - 7x + 7x
10x = 3
10x / 10 = 3 / 10
x = 3/10
5) 2(8x-3) =3(5x +8)
2 x 8x - 2 x 3 = 3 x 5x + 3 x 8
16x - 6 = 15x + 24
16x - 6 + 6 = 15x + 24 + 6
16x = 15x + 30
16x - 15x = 15x + 30 - 15x
x = 30
6) 4(x-3)+ (6x -9) = 2(8x -4) - (6x -3)
4x - 4 x 3 + (6x -9) = 2 x 8x - 2 x 4 - (6x -3)
4x - 12 + 6x - 9 = 16x - 8 + 6x + 3
4x + 6x - 12 - 9 = 16x + 6x - 8 + 3
10x - 21 = 22x - 5
10x - 21 + 21 = 22x - 5 + 21
10x = 22x + 16
10x - 22x = 22x + 16 - 22
-12x = 16
-12x / -12 = 16 / -12
x = -16/12
