Question

2) Resolva as seguintes equações

a) 4x – 1 = 3 ( x – 1) (R: -2)
b) 3( x – 2) = 2x – 4 (R:2)
c) 2( x – 1) = 3x + 4 ( R: -6)
d) 3(x – 1) – 7 = 15 (R: 25/3)
e) 7 ( x – 4) = 2x – 3 (R: 5)
f) 3 ( x –2) = 4(3 – x) (R:18/7)
g) 3 ( 3x – 1) = 2 ( 3x + 2) ( R: 7/3)
h) 7 ( x – 2 ) = 5 ( x + 3 ) (R: 29/2)
i) 3 (2x – 1) = -2 ( x + 3) (R: -3/8)
j) 5x – 3( x +2) = 15 (R: 21/2)
k) 2x + 3x + 9 = 8(6 –x) (R:3)
l) 4(x+ 10) -2(x – 5) = 0 (R: -25)
m) 3 (2x + 3 ) – 4 (x -1) = 3 ( R: -5)
n) 7 (x – 1) – 2 ( x- 5) = x – 5 (R: -2)
o) 2 (3 – x ) = 3 ( x -4) + 15 (R: 3/5)
p) 3 ( 5 – x ) – 3 ( 1 – 2x) = 42 (R:10)
q) ( 4x + 6) – 2x = (x – 6) + 10 +14 (R:12)
r) ( x – 3) – ( x + 2) + 2( x – 1) – 5 = 0 ( R:6)
s) 3x -2 ( 4x – 3 ) = 2 – 3( x – 1) ( R ½)
t) 3( x- 1) – ( x – 3) + 5 ( x – 2) = 18 ( R: 4)
u) 5( x – 3 ) – 4 ( x + 2 ) = 2 + 3( 1 – 2x) (R:4)​

Answer 1

a) 4x - 1 = 3(x - 1)

4x - 1 = 3x - 3

4x - 3x = -3 + 1

x = -2

b) 3(x - 2) = 2x - 4

3x - 6 = 2x - 4

3x - 2x = -4 + 6

x = 2

c) 2(x - 1) = 3x + 4

2x - 2 = 3x + 4

2x - 3x = 4 + 2

-x = 6 (.-1)

x = -6

d) 3(x - 1) - 7 = 15

3x - 3 - 7 = 15

3x - 10 = 15

3x = 15 + 10

3x = 25

x = 25/3

e) 7(x - 4) = 2x - 3

7x - 28 = 2x - 3

7x - 2x = -3 + 28

5x = 25

x = 25/5

x = 5

f) 3(x - 2) = 4(3 - x)

3x - 6 = 12 - 4x

3x + 4x = 12 + 6

7x = 18

x = 18/7

g) 3(3x - 1) = 2(3x + 2)

9x - 3 = 6x + 4

9x - 6x = 4 + 3

3x = 7

x = 7/3

h) 7(x - 2) = 5(x + 3)

7x - 14 = 5x + 15

7x - 5x = 15 + 14

2x = 29

x = 29/2

i) 3(2x - 1) = -2(x + 3)

6x - 3 = -2x - 6

6x + 2x = -6 + 3

8x = -3

x = - 3/8

j) 5x - 3(x + 2) = 15

5x - 3x - 6 = 15

2x = 15 + 6

2x = 21

x = 21/2

k) 2x + 3x + 9 = 8(6 - x)

5x + 9 = 48 - 8x

5x + 8x = 48 - 9

13x = 39

x = 39/13

x = 3

l) 4(x + 10) - 2(x - 5) = 0

4x + 40 - 2x + 10 = 0

2x + 50 = 0

2x = -50

x = - 50/2

x = -25

m) 3(2x + 3) - 4(x - 1) = 3

6x + 9 - 4x + 4 = 3

2x + 13 = 3

2x = 3 - 13

2x = -10

x = - 10/2

x = -5

n) 7(x – 1) – 2 (x - 5) = x – 5

7x - 7 - 2x + 10 = x - 5

5x + 3 = x - 5

5x - x = -5 - 3

4x = -8

x = - 8/4

x = -2

o) 2(3 - x) = 3(x - 4) + 15

6 - 2x = 3x - 12 + 15

6 - 2x = 3x + 3

-2x - 3x = 3 - 6

-5x = -3 (.-1)

x = 3/5

p) 3(5 - x) - 3(1 - 2x) = 42

15 - 3x - 3 + 6x = 42

12 + 3x = 42

3x = 42 - 12

3x = 30

x = 30/3

x = 10

q) (4x + 6) - 2x = (x - 6) + 10 + 14

4x + 6 - 2x = x - 6 + 10 + 14

2x + 6 = x + 18

2x - x = 18 - 6

x = 12

r) (x - 3) - (x + 2) + 2(x - 1) - 5 = 0

x - 3 - x - 2 + 2x - 2- 5 = 0

-12 + 2x = 0

2x = 12

x = 12/2

x = 6

s) 3x - 2(4x - 3) = 2 - 3(x - 1)

3x - 8x + 6 = 2 - 3x + 3

-5x + 6 = 5 - 3x

-5x + 3x = 5 - 6

-2x = -1 (.-1)

x = 1/2

t) 3(x - 1) - (x - 3) + 5(x - 2) = 18

3x - 3 - x + 3 + 5x - 10 = 18

7x - 10 = 18

7x = 18 + 10

7x = 28

x = 28/7

x = 4

u) 5(x - 3) - 4 (x + 2) = 2 + 3 (1 - 2x)

5x - 15 - 4x - 8 = 2 + 3 - 6x

x - 23 = 5 - 6x

x + 6x = 5 + 23

7x = 28

x = 28/7

x = 4