Question

4. Resuelve las siguientes ecuaciones:
a. 3x + 5x = 6 + 3
b.3 + 1 = 7x - 24
c. 2x + 4 = x + 5x - 2x
d. 2. (3 + 2x ) = 10
e. 4. (x-5) = 3 . (x + 1) - 15
f. 3( x +2) -3= 12
g. 5x+ 4= 2( x-1) + 10
h. 5(2x+1) = x-2

Por favor

Answer 1

Explicación paso a paso:

A. 3x + 5x = 6 + 3

8x = 6 + 3

x = 9 / 8

x = 1.125

B. 3 + 1 = 7x - 24

3 + 1 + 24 = 7x

28 = 7x

28 / 7 = x

4 = x

C. 2x + 4 = x + 5x - 2x

2x + 4 = 6x - 2x

2x + 4 = 4x

4 =  4x - 2x

4 = 2x

4 / 2 = x

2 = x

D. 2 (3 + 2x ) = 10

2 (2x + 3) = 10

4x + 6 = 10

4x = 10 - 6

4x = 4

x = 4 / 4

x = 1

E. 4 (x - 5) = 3 (x + 1) - 15  

4 x  -  2 0  =  3  ( x +  1 )  −  15

4x - 20 = 3x + 3 - 15

4x = 3x + 3 - 15 + 20

4x - 3x = 3 - 15 + 20

x  = 8

F.  3 ( x + 2) - 3= 12

3x + 6 - 3 = 12

3x + 6 = 12 + 3

3x + 6 = 15

3x = 15 - 6

3x = 9

x = 9 / 3

x = 3

G. 5x + 4 = 2 (x - 1) + 10

5x + 4 = 2x - 2 + 10

5x = x + 10 - 4

5x - x = 6

4x = 6

x = 6/4

x = 1.5

H. 5 (2x + 1) = x - 2

10x + 5 = x - 2

10x = x - 2 + 5

10x - x = -2 + 5

9x = 3

x = 3 / 9

x = 0.3