Question

equações: a)11x+7=-6 b)3x+1=19 c)5+2x=1 d) 5x+3=7 e)-2x-2=-5 f)5-2x=-17 g)5(2x+7)-1=4(x-5)+9 h)2(x-1)+3(x+1)=4(x+2)

Answer 1

a)
11x+7=-6
11x=-6-7
11x=-13
x= -13/11

b)
3x+1=19
3x=19-1
x=18/3
x=6

c)
5+2x=1
2x=1-5
x=-4/2
x=-2

d)
5x+3=7
5x=7-3
x=4/5

e)
-2x-2=-5
-2x=-5+2
-2x=-3
x=3/2

f)
5-2x=-17
-2x=-17-5
-2x=-22
x=22/2
x=11

g)
5(2x+7)-1=4(x-5)+9
10x+35-1=4x-20+9
10x-4x=-20+9-35+1
6x=-45
x=-45/6 (45:3=15) (6:3=2)
x=-15/2

h)
2(x-1)+3(x+1)=4(x+2)
2x-2+3x+3=4x+8
2x+3x-4x=8+2-3
x=7

Answer 2

a) 11x + 7 = -6
11x = -6 -7
11x = -13

$x= \frac{-13}{11}$

b) 3x + 1 = 19
3x = 19 - 1
3x = 18
$x= \frac{18}{3}$

x = 6

c) 5 + 2x = 1
2x = 1 - 5
2x = -4
$x= \frac{-4}{2}$

x = -2

d) 5x + 3 = 7
5x = 7 - 3
5x = 4

$x= \frac{4}{5}$

e) -2x - 2 = -5
-2x = -5 + 2
-2x = -3 (-1) multiplica por -1)
2x = 3

$x= \frac{3}{2}$

f) 5 - 2x = -17
-2x = -17 - 5
-2x = -22 (-1) multiplica por -1
2x = 22

$x= \frac{22}{2}$

x = 11

g) 5(2x + 7) - 1 = 4(x - 5) + 9
10x +14 -1 = 4x - 20 +9
10x + 13 = 4x - 11
10x - 4x = -11 - 13
6x = -24

$x= \frac{-24}{6}$

x = -4

h) 2(x - 1) + 3(x + 1) = 4(x + 2)
2x - 2 + 3x +3 = 4x + 8
5x + 1 = 4x + 8
5x - 4x = 8 - 1

x = 7