Question

Actividad: Resolver las siguientes ecuaciones utilizando la propiedad distributiva:
a) 4. (x - 3) + 8 = 16
b) 3. (x - 5) + 7 = 2. (x + 4) - 3
c) 2. (2x - 3) + 5 = 3. (x - 1) - 12
d) 4+2. (x - 5) = 16​

Answer 1

Explicación paso a paso:

a) 4. (x - 3) + 8 = 16

4x - 12 + 8 = 16

4x = 16 + 12 - 8

4x = 20

x = 20/4

x = 5

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

3x - 15 + 7 = 2x + 8 - 3

3x - 2x = 8 - 3 + 15 -7

x = 13

c) 2. (2x - 3) + 5 = 3. (x - 1) - 12

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

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

x = -14

d) 4+2. (x - 5) = 16

4 + 2x -10 = 16

2x = 16 - 4 + 10

x = 22/2

x = 11