Question

resolver plis propiedad distributiva
a)4.(x-1)+3.(x+5)=2x+41
b)5x- 11 +2.(2x+3)=2x+9
c)5.(7+ 4x)-15 -8x=92
d)11+7.(2x-1)-9x=2.(x+11)
e)6.(2+ 3x)+3.(x-4)=63

Answer 1

a) 4. (x-1) + 3 . (x+5) = 2x + 41
(4x - 4) + (3x + 15) = 2x + 41
(4x - 4) + (3x + 15) - 2x = 41
(4x - 4) + 3x - 2x= 41 - 15
(4x - 4) + 3x - 2x = 26
4x + 3x - 2x = 26 + 4
4x + 3x - 2x = 30
7x - 2x = 30
5x = 30
x = 30 : 5
x = 6

b) 5x - 11 + 2 . (2x + 3) = 2x + 9
5x - 11 + (4x + 6) = 2x + 9
5x - 11 + (4x+6) - 2x = 9
5x - 11 + 4x - 2x = 9 - 6
5x - 11 + 4x - 2x = 3
5x + 4x - 2x = 3 + 11
9x - 2x = 14
7x = 14
x= 14 : 7
x= 2

c) 5. (7 + 4x) - 15 - 8x = 92
(35 + 20x) - 15 - 8x = 92
(35 + 20x) - 8x = 92 + 15
(35 + 20x) - 8x = 107
20x - 8 x = 107 - 35
12 x = 72
x = 72 : 12
x= 6

d) 11 + 7. (2x -1) -9x = 2 . (x+11)
11 + (14x - 7) - 9x = 2x + 22
11 + (14x - 7) -9x - 2x = 22
11 + 14x - 9x - 2x = 22 + 7
11 + 14x - 9x - 2x = 29
14x - 9x - 2x = 29 - 11
14x - 9x -2x = 18
5x - 2x = 18
3x = 18
x = 18 : 3
x= 6

e) 6 . (2+3x) + 3. (x-4) = 63
(12 + 18x) + (3x - 12) = 63
(12 + 18x) + 3x = 63 + 12
(12 + 18x) + 3x = 75
18x + 3x = 75 -12
18x+ 3x = 63
21x = 63
x = 63 : 21
x = 3