Question

1 - Resolva as equações do 1 grau:
a 6x=2x+16
b 4x-10=2x+2
c 3x-2=4x+9
d 3 (x-2)=4x+9
e 5 (x-1)-11=3(x=2)
f 5x+4=3x-2x+4
g 2(x+3)+3(x+4)=7(x+2)-6
h 2(3x-1)+2(3-x)=x-5
i x+2(x+3)=60

Answer 1

a) 6x=2x+16
6x - 2x = 16
4x = 16
x = 16/4
x = 4

b) 4x-10=2x+2
4x - 2x = 2 + 10
2x = 12
x = 12/2
x= 6 

c) 3x-2=4x+9
3x - 4x  = 9 + 2
-x = 11
x = -11

d) 3 (x-2)=4x+9
3x - 6 = 4x + 9
3x - 4x = 9 + 6
-x = 15
x = -15

e) 5 (x-1)-11=3(x=2)
5x - 5 - 11 = 3x + 3
5x - 3x = 3 + 11 + 5
2x = 19
x = 19/2 = 9,5

f) 5x+4=3x-2x+4
5x + 4 = x + 4
5x - x = 4 -4
4x = 0
x = 0

g) 2(x+3)+3(x+4)=7(x+2)-6
2x + 6 + 3x + 12 = 7x + 14 - 6
5x + 18 = 7x + 8
5x - 7x = 8 - 18
-2x = - 10
x = -10/-2
x = 5

h) 2(3x-1)+2(3-x)=x-5
6x - 2 + 6 -2x = x - 5
4x + 4 = x - 5
4x - x = -5 -4
3x = -9
x = -9/3
x = -3

i) x+2(x+3)=60
x + 2x + 6 = 60
3x = 60 - 6
3x = 54
x = 18