Question

05) Determine a raiz de cada equação:
a) 3(x + 3) - 1 = 2

c) 3(x + 2) - 2(x + 3) + 6 = 0

d) 6x + 3(x +1) - 7 = 2(2x - 1) - 41 -

b) 3(x + 2) = 2(x - 7)​

Answer 1

a)x-17 = -9

x= -9 +17

x= +8

b)2x = -7

x= -7/2  ou  -3,5

c)3x+2 = 2x-11

3x -2x= -11 -2

x= -13

d)2x = 16

x= 16/2

x= 8

e)x/2 = -5

x= -5.(2)

x= -10

f)2x+14 = 5x-1

2x -5x = -1 -14

-3x = -15.(-1)

3x= +15

x= 15/3

x=5

g)4x-5 =6x+11

4x -6x = 11 +5

-2x = 16.(-1)

2x= -16

x= -16/2

x= -8

h)5x+4-2x = 26-3x

5x +3x -2x = 26 -4

8x -2x = 22

6x = 22

x= 22/6   simplificando 22 e 6 por 2

x= 11/3

i)3.(x+2)+5 = x+12

3x +6 +5 = x+12

3x -x = 12 -6-5

2x = 12-11

2x= 1

x= 1/2  ou 0,5

j)x+4.(x-1) = 9-2.(x+3)

x + 4x -4 = 9 -2x -6

x +4x +2x = 9 +4 -6  

7x = 13 -6

7x= 7

x= 7/7

x= 1

k)5.(3x-2) = 2.(6x+3)

15x -10 = 12x +6

15x -12x = 6 +10

3x =16

x= 16/3

l)2.(3x-1)+2.(3-x)

6x -2 + 6 -2x=0

6x -2x = -6 +2

4x = -4

x= -4/4

x= -1

m)7.(x-1) = 2.(3x+1)

7x -7 = 6x +2

7x-6x = 2 +7

x= 9

n)2.(3-y)+7.(2-y) = 15-4y

6 -2y +14 -7y = 15 -4y

-2y -7y +4y = 15 -6 -14

-9y +4y = 15 -20

-5y = -5.(-1)

5y =+5

y= 5/5

y=1

o)2.(x-2)+5.(2-x)+6.(x-1) = 0

2x -4 +10 -5x +6x -6 =0

2x +6x -5x = +4 +6 -10

8x- 5x= 10-10

3x = 0

x= 0/3

x= 0

p)3.(x-2)-(1-x) = 13

  3x -6 -1 +x = 13

3x +x = 13 +6 +1

4x = 20

x= 20/4

x= 5

Answer 2

$\Large\boxed{\boxed{\boxed{{Ola\´\ }}}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

a)

$\sf3(x + 3) - 1 = 2 \\ \sf3x + 9 - 1 = 2 \\ \sf3x + 8 = 2 \\ \sf3x = 2 - 8 \\ \sf3x = - 6\\ \sf x = \frac{ - 6}{3} \\ \large\boxed{{\sf \large\boxed{{\sf x = - 2{}}}{}}}$

b)

$\sf3(x + 2) = 2(x - 7) \\ \sf3x + 6 = 2x - 14 \\ \sf3x - 2x + 6 = - 14 \\ \sf3x - 2x = - 14 - 6 \\ \sf x = - 14 - 6 \\ \large\boxed{{\sf \large\boxed{{\sf \sf x = - 20{}}}{}}}$

c)

$\sf3(x + 2) - 2(x + 3) + 6 = 0 \\ \sf3x + 6 - 2x - 6 + 6 = 0 \\ \sf3x - 2x + 6 = 0 \\ \sf x + 6 = 0 \\ \sf x = 0 - 6 \\ \large\boxed{{\sf \large\boxed{{\sf \sf x = - 6{}}}{}}}$