Réponse :
Explications étape par étape :
1)
5-(x-3) = 4x-(3x-8) ⇔
5 -x+3 = 4x -3x +8 ⇔
8 - x = x +8 ⇔
-x = x ⇔
x = 0
2)
2+x-(5+2x) -7 = 3x+7 ⇔
2+x-5-2x-7 = 3x+7 ⇔
-x -10= 3x+7 ⇔
-10 = 4x +7 ⇔
-17 = 4x ⇔
x = - 17/4
3)
4x+3-(x+1)+5 = 5x+7 ⇔
4x+3 -x-1 +5 = 5x+7 ⇔
3x+7 = 5x+7 ⇔
0 = 2x ⇔
x = 0
4)
2x+1-(2+x)-7 = 3x+7 ⇔
2x+1-2 -x -7 = 3x+7 ⇔
x -8 = 3x+7 ⇔
-8 = 2x +7 ⇔
-15 = 2x ⇔
x = -15/2
5)
5(x-1)+3(2-x)=0 ⇔
5x-5+6-3x = 0 ⇔
2x+1 =0 ⇔
2x = -1 ⇔
x = -1/2
6)
7(x+4)-3(x+2) = x+7 ⇔
7x+28-3x-6 = x+7 ⇔
4x +22 = x+7 ⇔
3x +22 = 7 ⇔
3x = - 15 ⇔
x = -5
7)
2(x-1) -3(x+1) = 4(x-2) ⇔
2x-2-3x-3=4x-8 ⇔
-x -5 = 4x-8 ⇔
-5 = 5x -8 ⇔
3 = 5x ⇔
x = 3/5
8)
8(4-3x) +1 = 53 -3 (x-5) ⇔
32 - 24x +1 = 53 -3x +15 ⇔
33 -24x = 68 -3x ⇔
-24 x = 35 -3x ⇔
-21x = 35 ⇔
x = - 35/21⇔
x= -5/3
