Question

2) Resolva as equações abaixo.

a) 6x - 2 = 4x + 12

b) 4(x +20)= - 18


c) 18x + 10 = 6x-4

d) - 3x + 5 = 4(x + 7)

e) 5x + 4x - 8 = - 6x +16

f)5x + 7 = 15x + 16

g)5(3x-3) = 35

h) 6(3 + x) = 36

pode me ajudar ​

Answer 1

A)x=7

B)x=- 49/2

C)x=- 7/6

D)x=- 23/7

E)x=8

F)x=- 9/10

G)x=10/3

H)x=3

Explicação passo a passo

A)6x-2=4x+12

6x-2=4x+12

6x-2-4x=4x+12-4x

6x-2-4x=12

6x-2=4x+12

6x-2-4x=12

6x-2=4x+12

6x-2-4x+2=12+2

6x-4x=12+2

6x-2=4x+12

6x-4x=12+2

6x-4x

(6-4)x

2x

6x-4x=12+2

2x=12+2

6x-4x=12+2

2x=14

2x÷2=14÷2

x=14÷2

2x÷2=14÷2

x=7

2x=14

x=7

resposta

x=7

B)4(x+20)=-18

4(x+20)=-18

4(x+20)

4x+4×20

4x+80

4(x+20)=-18

4x+80=-18

4x+80-80=-18-80

4x=-18-80

4x+80=-18

4x=-18-80

-18-80

-(18+80)

-98

4x=-18-80

4x=-98

4x÷4=-98÷4

x=-98÷4

4x÷4=-98÷4

x=- 98/4

x=- 98/4 aqui cancele os dois numeros 98 e 4.

x=- 49/2

4x=-98

x=- 49/2

resposta

x=-49/2

C)18x+10=6x-4

18x+10=6x-4

18x+10-6x=6x-4-6x

18x+10-6x=-4

18x+10=6x-4

18x+10-6x=-4

18x+10=-6x-4

18x+10-6x-10=-4-10

18x-6x=-4-10

18x+10=6x-4

18x-6x-4-10

18x-6x

(18-6)x

12x

18x-6x=-4-10

12x=-4-10

18x-6x=-4-10

-4-10

-(4+10)

-14

18x-6x=-4-10

12x=-14

12x÷12=-14÷12

x=-14÷12

12x÷12=-14÷12

x=- 14/12

x=- 14/12 aqui risque os dois numeros 14 e 12.

x=- 7/6

12x=-14

x=- 7/6

resposta

x=- 7/6

D)-3x+5=4(x+7)

-3x+5=4(x+7)

4(x+7)

4x+4×7

4x+28

-3x+5=4(x+7)

-3x+5=4x+28

-3x+5-4x=-4x+28-4x

-3x+5-4x=28

-3x+5=4x+28

-3x+5-4x=28

-3x+5=4x+28

-3x+5-4x-5=28-5

-3x-4x=28-5

-3x+5=4x+28

-3x-4x=28-5

-3x-4x

(-3-4)x

-7x

-3x-4x=28-5

-7x=28-5

-3x-4x=28-5

-7x=23

-7x÷(-7)=23÷(-7)

x=23÷(-7)

-7x÷(-7)=23÷(-7)

x=-23÷7

-7x÷(-7)=23÷(-7)

x=-23/7

-7x=23

x=-23/7

resposta

x=-23/7

E)5x+4x-8=-6x+16

5x+4x-8=6x+16

5x+4x

(5+4)x

9x

5x+4-8=6x+16

9x-8=6x+16

9x-8-6x=6x+16-6x

9x-8-6x=16

9x-8=6x+16

9x-8-6x=16

9x-8=6x+16

9x-8-6x+8=16+8

9x-6x=16+8

9x-8=6x+16

9x-6x=16+8

9x-6x

(9-6)x

3x

9x-6=16+8

3x=16+8

9x-6x=16+8

3x=24

3x÷3=24÷3

x=24÷3

3x÷3=24÷3

x=8

3x=24

x=8

resposta

x=8

F)5x+7=15x+16

5x+7=15x+16

5x+7-15x=15x+16-15x

5x+7-15x=16

5x+7=15x+16

5x+7-15x=16

5x+7=15x+16

5x+7-15x-7=16-7

5x-15x=16-7

5x+7=15x+16

5x-15x=16-7

5x-15x

(5-15)x

-10x

5x-15x=16-7

-10x=16-7

5x-15x=16-7

-10x=9

-10x÷(-10)=9÷(-10)

x=9÷(-10)

-10x÷(-10)=9÷(-10)

x=-9÷10

-10x÷(-10)=9÷(-10)

x=- 9/10

-10x=9

x=-9/10

resposta

x=- 9/10

G)5(3x-3)=35

5(3x-3)=35

5(3x-3)÷5=35÷5

3x-3=35÷5

5(3x-3)÷5=35÷5

3x-3=7

5(3x-3)=35

3x-3=7

3x-3+3=7+3

3x=7+3

3x-3=7

3x=7+3

3x=10

3x÷3=10÷3

x=10÷3

3x÷3=10÷3

x=10/3

3x=10

x=10/3

resposta

x=10/3

G)6(3+x)=36

6(3+x)=36

6(3+x)÷6=36÷6

3+x=36÷6

6(3+x)÷6=36÷6

3+x=6

6(3+x)=36

3+x=6

3+x-3=-6-3

x=6-3

3+x=6

x=6-3

x=3

resposta

x=3