Question

Resuelve las siguientes ecuaciones con paréntesis,
a. 2x - 10 = 4.(x-3)
b. 7. (2x - 3) = 5. (x + 3)
c. 2+3. (X-6) = 8 -(4- 5x)
d.-4. (2x - 1) + 5 = 3x -6.(x-2)
e. 6 - X+3.(4 + 5x) = x-(7x + 2)
f. -(3-4x) + 2(x - 1) = 6. (X + 8)​

Answer 1

Respuesta:

a. x = 3,666...

b. x = -4

c. 0 = 34

d. x = 1

e. 1,4

f. 0 = 53

Explicación paso a paso:

2x - 10 = 4.(x-3)

2x - 10 = 4x - 12

2x = 4x - 12 + 10

2x = 4x - 22

4x + 2x = 22

6x = 22

x = 22 ÷ 6

x = 3,66....

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

14x - 21 = 5x + 15

14x = 5x + 15 + 21

14x = 5x + 36

5x - 14x = 36

-9x = 36

x = 36 ÷ -9

x = -4

2+3. (X-6) = 8 -(4 - 5x)c

5 . (x - 6) = 8 - (4 - 5x)

5x - 30 = 4 + 5x

5x - 5x = 34

0 = 34

-4. (2x - 1) + 5 = 3x -6.(x-2)

-8 - -4 + 5 = 3x - 6x - 12

-4 + 5 = -3x - 12

-4 = 3x - 12 - 5

-4 = 3x - 7

7 + -4 = 3x

3 = 3x

3 ÷ 3 = x

1 = x

6 - X+3.(4 + 5x) = x-(7x + 2)

6 - x + 12 + 15x = x - (7x + 2)

18 + 16x = x - (7x + 2)

16x = x - (7x + 2) - 16

17x = 7x + 2 - 16

7x - 17x = 2 - 16

-10x = -14

x = -14 ÷ 10

x = 1,4

-(3-4x) + 2(x - 1) = 6. (X + 8)

- (3 - 4x) + 2x - 2 = 6x + 48

- (3 - 4x) + 2x = 6x + 50

- (4x - 3) + 2x = 6x + 50

4x - 3 + 2x = 6x + 50

4x + 2x = 6x + 53

6x = 6x + 53

6x - 6x = 53

0 = 53