Question

De solução de cada equação
a)3x-1=8 b)11x+17=10x+13 c)3x-11=x-11 d)x+7x-2x=96+2x e)4x-12=x f)x+6=0,5x
g)5x+21=10x-19 h)7x-23-x=2x+20

Answer 1

a)
3x -1 = 8
3x =8 +1
3x = 9
x = 9÷3

x=3

b)
11x +17 = 10x +13
11x -10x + 17 = 13
11x -10x = 13 -17

x = -4

c)
3x -11 = x -11
3x - 1x -11 = -11
2x -11 = -11
2x = -11 +11
2x =0
x= 0÷2

x=0

d)
x+ 7x -2x =96 +2x
8x -2x= 96 +2x
6x = 96 +2x
6x -2x = 96
4x = 96
x =96 ÷4

x= 24

e)
4x-12=x
4x -x -12 =0
3x -12 =0
3x = +12
x= 12 ÷3

x= 4

f)
x + 6 = 0,5 x
x - 0,5 x + 6 =0
0,5x + 6 = 0
0,5x = -6
x = -6 ÷ 0,5
x= -60 ÷ 5

x= -12

g)
5x +21 =10x -19
5x -10x +21 = -19
-5x +21 = -19
-5x = -19 -21
-5x = -40

*multiplique por "-1" nos dois lados*

5x = 40
x= 40 ÷5
x= 8

h)
7x-23 -x = 2x +20
7x-x -23 = 2x +20
6x -23 = 2x + 20
6x -2x -23 =20
4x =20 +23

4x = 43

x = 43 ÷4