Question

1)Resolova as equações:

A) 4X +2=8 -2X

B)6X=6

C)10X -9=21 +2X +3X

D)3X- 2X +10 =10+5X +30

E)X+30=40

F)10 -8X -2=5X+2(-4X+1)

G)30-20+2X=10

H)3X-10+13=-2X+28

Answer 1

$a)~~4x+2=8-2x\to ~~4x+2x=8-2\to ~~6x=6\to~~ x= \dfrac{6}{6} \to\\ \boxed{x=1}\\\\\\\\ b)~~6x=6\to~~ x= \dfrac{6}{6} \to ~~ \boxed{x=1}\\\\\\\\ c) ~~ 10x-9=21+2x+3x\to~~10x-2x-3x=21+9\to~ 5x=30\to \\\\ x= \dfrac{30}{5} \to~~ \boxed{x=6}$




$d)~~3x-2x+10=10+5x+30\to ~~3x-2x-5x=10+30-10\to\\\\ -4x=30\to ~~x= \dfrac{30}{-4} \to ~~ \boxed{x=-~ \frac{15}{2}~~ou~~x=-7,5 }\\\\\\\\ e)~~ x+30=40\to~~x=40-30\to~~\boxed{x=10}\\\\\\\\ f) ~~ 10-8x-2=5x+2(-4x+1)\to~~ 10-8x-2=5x-8x+2\to\\\\ -8x-5x+8x=2-10+2\to ~~-5x=-6~(-1)\to~~5x=6\to\\\\ \boxed{x= \frac{6}{5} }$




$g)~~30-20+2x=10\to~~2x=10-30+20\to~~ 2x=0\to~~ x= \dfrac{0}{2} \to\\\\ \boxed{x=0}\\\\\\\\ h)~~ 3x-10+13=-2x+28\to~~3x+2x=28+10-13\to\\\\ 5x=25\to~~ x= \dfrac{25}{5} \to~~ \boxed{x=5}$

Answer 2

a)
4x + 2 = 8 - 2x
4x + 2x = 8 - 2
6x = 6
x = 6/6
x = 1
--------------------------
b)
6x = 6
x = 6/6
x = 1
---------------------------------------------
c)
10x - 9 = 21 + 2x + 3x
10x - 9 = 21 + 5x
10x - 5x = 21 + 9
5x = 30
x = 30/5
x = 6
-----------------------------------------------
d)
3x - 2x + 10 = 10 + 5x + 30
x + 10 = 40 + 5x
10 - 40 = 5x - x
- 30 = 4x
4x = - 30  (:2)
2x = - 15
x = - 15/2
------------------------------
E)
X + 30 = 40
x = 40 - 30
x = 10
---------------------------------------

F)
10 - 8x - 2 = 5x + 2(- 4x + 1)
8 - 8x = 5x - 8x + 2
8 - 2 = 5x
6 = 5x
5x = 6
x = 6/5
------------------------------
G)
30 - 20 + 2X = 10
10 + 2x = 10
2x = 10 - 10
2x = 0
x = 0/2
x = 0
------------------------------------------
H)
3x - 10 + 13 = - 2x + 28
3x + 3 = - 2x + 28
3x + 2x = 28 - 3
5x = 25
x = 25/5
x = 5