Question

Me ajuda, por favor!
a) 3x+2=x+5
b) 16x-52=4x-4
c) 7.(x-6)=4x-4
d) 2.(x+17)=-x/2
e) x=3/5x-2
f) 4.(x+2)=x+1,1

Answer 1

a)
3x + 2 = x + 5 
3x - x = 5 - 2
2x = 3
x = 3/2
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
b)
16x - 52 = 4x - 4
16x - 4x = - 4 + 52
12x = 48
x = 48/12
x = 4
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c)
7.(x - 6) = 4x - 4
7x - 42 = 4x - 4
7x - 4x = - 4 + 42
3x = 38
x = 38/3
¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬

d)
2.(x + 17) = - x/2
2x + 34 = - x
                -----
                  2

2.(2x + 34) = - x
4x + 68 = - x
4x + x = - 68
5x = - 68
x = - 68/5
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
e)
x = 3/5 x - 2
x - 3 x = - 2
     -----
       5


mmc = 5

5x - 3x = - 10
---------    -------
      5           5

5x - 3x = - 10
2x = - 10
x = - 10/2 
x = - 5
¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬

f)
4.(x + 2) = x + 1,1
4x + 8 = x + 1,1
4x - x = 1,1 - 8,0
3x = - 8 + 1,1
3x = - 6,9
x = - 6,9/3

x = - 2,3
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨