Équations a corriger svp

Sujet du devoir

Résoudre chaque équation :
a) 6x + 1 = 2x + 6

b) 5x - 8 = 2 + 3x

c) 2 - 5x = 1 + 6x

d) 3( x + 1 ) = x + 6

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

f) 2x - 3 (2 - 2x) = 8 (-x + 1 ) + 2

Où j'en suis dans mon devoir

a) 6x + 1 = 2x + 6
6x + 1 - 2x = 2x + 6 - 2x
4x + 1 = 6
4x + 1 - 1 = 6 - 1
4x/4 = 5/4

b) 5x - 8 = 2 + 3x
5x - 8 - 3x = 2+ 3x - 3x
2x - 8 = 2
2x - 8 + 8 = 2 + 8
2x/2 = 10/2
x = 5

c) 2 - 5x = 1 + 6x
2 - 5x - 6x = 1 + 6x - 6x
2 - 11x = 1
2 - 2 - 11x = 1 - 2
11x/11 = -1/11
x = -1 /11

d) 3( x + 1 ) = x + 6
3x + 3 = x + 6
3x + 3 - x = x + 6 - x
2x + 3 = 6
2x + 3 - 3 = 6 - 3
2x/2 = 3/2
x = 1.5

e) 2 (7 - 2x) = -3 (x - 7)
14 - 4x = -3x + 21
14 - 4x + 3x = -3x + 21 + 3x
14 - x = 21
14 - x + 14 = 21 + 14
x = 35

f) 2x - 3 (2 - 2x) = 8 (-x + 1 ) + 2
2x - 6 + 6x = -8x + 8 + 2
8x - 6 = -8x + 10
8x - 6 + 8x = -8x + 10 + 8x
16x - 6 = 10
16x - 6 + 6 = 10 + 6
16x/16 = 16/16
x = 1