a) 2(x + 1) + 3(x - 2) = 4(2 - x) + 6
b) 8(x - 1) - 5(x + 3) = 2(x + 8)
c) 5x - [3x - 2(x - 5)] = [3(4 - x) - 5(x - 2) + 4]
d) [7(3 - x) + 8(x - 4)] - [2 - 3(x + 2) + x] = 8
x favor rapi
Respuestas
Respuesta:
A) 2(x+1) + 3(x-2) = 4(2-x) + 6
2x + 2 + 3x - 6 = 8 - x + 6
5x - 4 = 14 - x
6x = 18
x = 3
B) 8(x-1) - 5(x+3) = 2(x+8)
8x - 8 - 5x - 15 = 2x + 16
3x - 23 = 2x + 16
x = 39
C) 5x - [3x - 2(x-5)] = [3(4-x) - 5(x-2) + 4]
5x - (3x - 2x + 10) = 12 - 3x - 5x + 10 + 4
5x - x - 10 = 26 - 8x
8x + 4x = 26 + 10
12x = 36
x = 3
D) [7(3-x) + 8(x-4)] - [2 - 3(x+2) + x] = 8
(21 - 7x + 8x - 32) - (2 - 3x - 6 + x) = 8
- 11 + x - (- 4 - 2x) = 8
-11 + x + 4 + 2x = 8
3x = 8 + 11 - 4
3x = 15
x = 5
Respuesta:
Esto son ejercicios de ecuaciones, los pasos y resultados los dejo abajo =D
Explicación paso a paso:
a) 2(x + 1) + 3(x - 2) = 4(2 - x) + 6
2x + 2 + 3x - 6 = 8 - 4x + 6
5x - 4 = -4x + 14
5x - 4x = 14 + 4
x = 18
b) 8(x - 1) - 5(x + 3) = 2(x + 8)
8x - 8 - 5x - 15 = 2x + 16
3x - 23 = 2x + 16
3x - 2x = 16 + 23
x = 39
c) 5x - [3x - 2(x - 5)] = [3(4 - x) - 5(x - 2) + 4]
5x - [3x - 2x + 10] = [12 - 3x - 5x + 10 + 4]
5x - 3x + 2x - 10 = 12 - 3x - 5x + 10 + 4
4x + 10 = - 8x + 26
4x + 8x = 26 + 10
12x = 36
x = 36 ÷ 12
x = 3
d) [7(3 - x) + 8(x - 4)] - [2 - 3(x + 2) + x] = 8
[21 - 7x + 8x - 32] - [2 - 3x - 6 + x] = 8
21 - 7x + 8x - 32 - 2 + 3x + 6 - x = 8
3x - 7 = 8
3x = 8 + 7
3x = 15
x = 15 ÷ 3
x = 5