Question

a) 3(x-5)=-18
b)4(x+2)-16=-36
c)2(4-4x)=-4(2-x)+16
d)3(2-3x)=-5(2x-3)+16
e)-5(2x+8)=-4(3x-11)
f)3(x+4)-24=36

Answer 1

Răspuns:

Explicație pas cu pas:

a) 3(x-5)=-18

3x - 15 = -18

3x = 15 - 18 = -3

x = -3/3 = -1

b)4(x+2)-16=-36

4x + 8 - 16 = -36

4x - 8 = -36

4x = 8 - 36 = -28

x = -28/4 = -7

c)2(4-4x)=-4(2-x)+16

8 - 8x = -8 + 4x + 16

8 - 8x = 8 + 4x

8x + 4x = 8 - 8

12x = 0

x = 0

d)3(2-3x)=-5(2x-3)+16

6 - 9x = -10x + 15 + 16

6 - 9x = -10x + 31

10x - 9x = 31 - 6

x = 25

e)-5(2x+8)=-4(3x-11)

-10x - 40 = -12x + 44

12x - 10x = 44 + 40

2x = 84

x = 84 : 2 = 42

f)3(x+4)-24=36

3x + 12 - 24 = 36

3x - 12 = 36

3x = 12 + 36 = 48

x = 48 : 3 = 16

Answer 2

$a) \: 3(x - 5) = - 18$

$3x - 15 = - 18 | + 15$

$3x = - 3 | \div 3$

$x = - 1$

$b) \: 4(x + 2) - 16 = - 36 | + 16$

$4x + 8 = - 20 | - 8$

$4x = - 28 | \div 4$

$x = - 7$

$c) \: 2(4 - 4x) = - 4(2 - x) + 16$

$8 - 8x = - 8 + 4x + 16$

$- 12x = 0 | \div ( - 12)$

$x = 0$

$d) \: 3(2 - 3x) = - 5(2x - 3) + 16$

$6 - 9x = - 10x + 15 + 16$

$x = 25$

$e) \: - 5(2x + 8) = - 4(3x - 11)$

$- 10x + ( - 40) = - 12x + 44$

$2x = 84 | \div 2$

$x = 42$

$f) \: 3(x + 4) - 24 = 36$

$3x + 12 - 24 = 36 | + 24$

$3x + 12 = 60 | - 12$

$3x = 48 | \div 3$

$x = 16$