Question

Resolver y verificar las siguientes ecuaciones:
c) 32 = 6x – 7 · (– 2)
d) x + 7x + 12 = – 13 · 4
e) – 8 · 6 – 3 · 14 = 12x + 6x
f) x – 12 – 6x = – 18 + 6
g) 18 – 8x + 6x = 5x + 32
h) 8x – 32 = – 20x : 4 + 46
i) 4x – 8x – 4 · 9 = – x – 3x – 12 · 3
j) – 5x – 15 + x + 33 = – 8 + 6x – 14
k) – 15x + 8x – 36 = – 21 : 3 + 5x – 17
l) – 5x + 8x + 20 = – 5x – 22 + 12x – 54 : (– 9)
m) 8x – (– 15 + 3 – 17) + 18 = 2x – (– 5)
n) 18x – (– 10) + (– 68) = 13x – (– 25 + 8)

Answer 1

Respuesta:

c) x =3

d) x = -8

e) x = -5

f) x = 0

g) x = 9/2

h) x = 6

i) x ∈ R

j) x = 4

k) x = -1

l) x = 9

m) x = -7

n) x = 15

Explicación paso a paso:

c) 32 = 6x + 14

-6x = 14 - 32

-6x = -18

-6x/-6 = -18/-6

x= 3

d) x+ 7x + 12 = -13 • 4

8x + 12 = -52

8x = -52 - 12

8x = -64

8x/8 = -64/8

x = -8

e) -8 • 6 - 3 • 14 = 12x + 6x

-48 - 42 = 18x

-90 = 18x

18x/18 = -90/18

x = -5

f) -5x - 12 = -12

-5x = -12 + 12

-5x = 0

-5x/-5 = 0/-5

x = 0

g) 18 - 8x -36 = -x - 3x -36

18 - 8x = -x -3x

18 -8x = -4x

-8x + 4x = -18

-4x = -18

-4x/-4 = -18/-4

x = 9/2

h) 8x - 32 = -5x +46

8x + 5x = 46 + 32

13x = 78

13x/13 = 78/13

x = 6

i) 4x -8x -36 = -x -3x -36

4x-8x = -x-3x

-4x = -4x

x ∈ R

j) -4x + 18 = -22 +6x

-4x - 6x = -22 - 18

-10x = -40

-10x/-10 = -40/-10

x = 4

k) -7x -36 = -7 + 5x -17

-7x -36 = -24 + 5x

-7x -5x = -24 +36

-12x = 12

-12x/-12 = 12/-12

x = -1

l) 8x +20 = -22 +12x +6

8x +20 = -16 + 12x

8x - 12x = -16 -20

-4x = -36

-4x/-4 = -36/-4

x = 9

m) 8x - (-29) +18 = 2x +5

8x + 29 +18 = 2x + 5

8x + 47 = 2x + 5

8x - 2x = 5 - 47

6x = -42

6x/6 = -42/6

x = -7

n) 18x +10 -68 = 13x -(-17)

18x - 58 = 13x + 17

18x - 13x = 17 + 58

5x = 75

5x/5 = 75/5

x = 15

Answer 2

Respuesta:espero que esto te sirva

Explicación paso a paso: