Question

simplifique e resolva as equaçoes a)4x-3-x+ 8=11b)6(x-2)=12c)10x+4(3-2x)-6=8d)3(5+3x)+5(x-1)=22e) 2(9x-4)-(7+6-5x)3=18       (com conta pf)

Answer 1

a)
4x - 3 - x + 8 = 11
4x - x - 3 + 8 = 11
3x + 5 = 11
3x = 11 - 5
3x = 6
x = 6/3
x = 2
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
b)
6.(x - 2) = 12
6x - 12 = 12
6x = 12 + 12
6x = 24
x = 24/6
x = 4
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c)

10x + 4(3 - 2x) - 6 = 8
10x + 12 - 8x - 6 = 8
10x - 8x + 12 - 6 = 8
2x + 6 = 8
2x = 8 - 6
2x = 2
x = 2/2
x = 1

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
d)
3.(5 + 3x) + 5(x - 1) = 22
15 + 9x + 5x - 5 = 22
15 + 14x - 5 = 22
15 - 5 + 14x = 22
10 + 14x = 22
14x = 22 - 10
14x = 12
x =  12 (:2)          6
      -----        =   ------
       14 (:2)          7

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
e)
2.(9x - 4) - (7 + 6 - 5x ).3 = 18
18x - 8 - (13 - 5x).3 = 18
18x - 8 - (39 - 15x) = 18
18x - 8 - 39 + 15x = 18
18x - 47 + 15x = 17
18x + 15x - 47 = 17
33x - 47 = 17
33x = 17 + 47
33x = 64
x = 64/33