Question

Resolva as equações em R.
1) 2 x + 6 = x + 18 
2) 5 x – 3 = 2 x + 9 
3) 3 (2x-3) + 2 (x + 1) = 3x + 18
4) 2x + 3 (x – 5) = 4x + 9
5) 2 (x + 1) – 3 (2x –5) = 6x – 3 
6) 3x – 5 = x – 2
7) 3x – 5 = 13
8) 3x + 5 = 2 
9) x – (2x – 1) = 23 
10) 2x – (x – 1) = 5 – (x – 3)    

Answer 1

1)2x+6=x+18                                    10)2x-(x-1)=5-(x-3)
2x-x=18-6  logo x=12                              2x-x+1=5-x+3
2)5x-3= 2x + 9                                            x+x=5+3-1  ⇒  2x=7⇔x=7/2
5x-2x=9+3
3x=12                                                          
x=4
3)3 (2x-3) +2 (x-1) = 3x +18
6x-9+2x-2=3x+18
8x-3x=18+9+2
5x=29
x=29/5
4) 2x+3 (x-5) =4x+9
2x+3x-15=4x+9
x=9+15
x=24
5)2(x+1) - 3 (2x -5) = 6x -3
2x+2-6x+15=6x-3
2x=17-3
x=14/2
x=7
6)3x-5=x-2
2x=-2+5
2x=3
x=3/2
7) 3x-5=13
3x=18
x=18/3
x=6
8) 3x+5=2
3x=2-5
3x=-3
x=-3/3
x=-1
9) x-(2x-1) = 23
x-2x+1=23
-x=23-1
-x=22  multiplicando por -1
x=-22

Answer 2

1) 2x+6 = x+18
2x-x = 18-6
x = 12

2) 5x-3 = 2x+9
5x-2x = 9+3
3x = 12
x = 12/3
x = 4

3) 3(2x - 3) + 2 (x+1) = 3x+18
6x-9+2x+2 = 3x+18
6x+2x-3x = 18+9-2
5x = 25
x = 25/5
x = 5

4) 2x+3(x-5) = 4x +9
2x+3x-15 = 4x+9
2x+3x-4x = 9+15
x=24

5) 2(x+1)-3(2x-5) = 6x-3
2x+2-6x+15 = 6x-3
2x-6x-6x = -3-2-15
-10x = -20
-x = -20/-10 (-1)
x = 2

6) 3x-5 = x-2
3x-x = -2+5
2x = 3
x = 3/2 ou 1,5

7) 3x-5 = 13
3x = 13+5
3x = 18
x = 18/3
x = 6

8) 3x+5 = 2
3x = 2-5
3x = -3
x = -3/3
x = -1

9) x-(2x-1) = 23
x+2x+1 = 23
3x = 24
x = 24/3
x = 8

10) 2x-(x-1) = 5-(x-3)
2x-x+1 = 5-x-3
2x-x+x = 5+3-1
2x=7
x=7/2 ou 3,5