Question

Mega Urge!!
ECUACIONES.
a) 6(7-x)= 8 (6-x)


b) -8 ( 10 - x ) = -6


c) (x+2) . 3 = (13-x) .4 +3


d) 3( 1 -2x) + 12 = 10 - 2 (x-3)

e) 4 (x-6) = 12 - (x +3)

f) -2 (x + 3 ) -4 = 18 + 4 x

g) 2 (3x+1) -x +6 =2 (x-1)


h) 6x - 2 (x-3) =12

Answer 1

a)
6 (7-x) = 8 (6-x)
42 -6x = 48 -8x
-6x +8x = 48 -42
2x = 6
x = 6/2
x = 3

b)
 -8 ( 10 - x ) = -6
-80 +8x = -6
8x = -6 +80
8x = 74
x = 74/8
x = 37/4


c)
(x+2) . 3 = (13-x) .4 +3
3x +6 = 52 -4x +3
3x +4x = 52 +3 -6
7x = 49
x = 49/7
x = 7

d)
3( 1 -2x) + 12 = 10 - 2 (x-3)
3 -6x +12 = 10 -2x +6
3 +12 -10 -6 = -2x +6x
-1 = 4x
-1/4 = x
x = -1/4

e)
4 (x-6) = 12 - (x +3)
4x -24 = 12 -x -3
4x +x = 12 -3 +24
5x = 33
x = 33/5

f)
 -2 (x + 3 ) -4 = 18 + 4 x
-2x -6 -4 = 18 +4x
-6 -4 -18 = 4x -2x
-28 = 2x
-28/2 = x
-14 = x
x = -14

g)
2 (3x+1) -x +6 =2 (x-1)
6x +2 -x +6 = 2x -2
6x -x -2x = -2 -6 -2
3x = -10
x = -10/3

h)
6x - 2 (x-3) =12
6x -2x +6 = 12
6x -2x = 12 -6
4x = 6
x = 6/4
x = 3/2