Question

4) Resuelve las siguientes operaciones combinadas:
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

Answer 1

Respuesta:

a) 2(x + 1) + 3(x - 2) = 4(2 - x) + 6

   2x+2 + 3x-6 = 8-4x + 6

   5x-4 = 14 -4x

   9x = 18

    x = 2

b) 8(x - 1) - 5(x + 3) = 2(x + 8)

    8x-8 - 5x+15 = 2x+16

    3x+7 = 2x+16

    x = 9

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 = 26 -8x

   4x+8x = 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

   21-7x + 8x-32 - 2-3x+6+x = 8

   -7 -x = 8

   -x = 15

  x = -15