Résoudre les équations suivantes a) x-6=3x-5 b) 3-2x=x+9 c) 4 (5x-1)=8x-12 d,8+4 (x+3)=x-4 (x-5) e) 3x-1/2=-3/4-5x

a) x-6=3x-5
=> x-3x = -5 +6
=> -2x= 1
=> x=1/-2

b) 3-2x=x+9
=> -2x -x = 9-3
=> -3x= 6
=> x =6/-3 = -2

c) 4 (5x-1) = 8x-12
=> 20x - 4= 8x-12
=> 20x -8x = -12 + 4
=> 12x = -8
=> x= - 8/12 = -4/6 = -2/3

d) 8+4 (x+3)=x-4 (x-5)
=> 8 + 4x + 12 = x -4x + 20
=> 20 + 4x = -3x + 20
=> 20-20 = -3x-4x
=> 0 = -7x
=> 7x = 0
=> x= 0/7
=> x = 0

e) 3x-1/2=-3/4-5x
=> 3x + 5x = 1/2 -3/4
=> 8x = -1/4
=> x = (-1/4)/8
=> x= -1/4 x 1/8
=> x= -1/32

A.x-6=3x-5
A.x-3x=-5+6
A.-2x=1
A.1/-2

B. 3-2x=x+9
B.-2x-x=9-3
B.-3x   =6
B.x      =6/-3
B.x=    =-2

C.4 (5x-1)=8x-12
C.20x-4   =8x-12
C.20x-8x  =-12+4
C.12x      =-8
C.x         =-8/12

D. 8+4 (x+3)=x-4 (x-5)
D.8 + 4x + 12 = x -4x + 20
D. 4x +4x -X   =20-8-12
D.7x              = 0
D.x                =0/7
D.x                =0

E=3x-1/2=-3/4-5x
E.3x + 5x = 1/2 -3/4
E.3x+5x    =(2/4-3/4)
E.8x = -1/4
E.x = (-1/4)/8
E.x= -1/4 x 1/8
E.x= -1/32