Question

Actividad 2 Resuelve las siguientes ecuaciones aplicando la propiedad distributiva :
a) 6(x +5) -5x = 25
b) 5(x-3) = 4( x +4)
c) 3( 3 -> ) +9 = 2(x-4) +6
d) -3(x-1) +4 = 6(x-1) -5
e) 3(4+x) = 5(x+4) +1 -3x
f) 7x-4(2x-1) +7 = -2(1-2x) +3



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Answer 1

Respuesta:

a) 6(x +5) -5x = 25

6x+30-5x = 25

x+30 = 25

x = 25-30

x = -5

b) 5(x-3) = 4( x +4)

5x-15 = 4x+16

(5-4)x = 16+15

x = 31

c) 3( 3 - x) +9 = 2(x-4) +6

9-3x+9 = 2x-8+6

18-3x = 2x-2

-3x-2x = -2-18

-5x = -20

-5x/-1 = -20/-1

5x = 20

5x/5 = 20/5

x = 4

d) -3(x-1)+4 = 6(x-1) -5

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

-3x+7 = 6x-11

(-3-6)x = -11-7

-9x = -18

-9x/-1 = -18/-1

9x = 18

9x/9 = 18/9

x = 2

e) 3(4+x) = 5(x+4) + 1 -3x

12+3x = 5x+20+1-3x

12+3x = 2x+21

12+3x-12 = 2x+21-12

3x = 2x+9

(3-2)x = 9

x = 9

f) 7x-4(2x-1) +7 = -2(1-2x) +3

7x-8x+4+7 = -2+4x+3

-x+11 = 1+4x

-x+11+x = 1+4x+x

11 = 1+5x

11-1 = 1+5x-1

10 = 5x

10/5 = 5x/5

2 = x

x = 2

Explicación paso a paso: