Question

Resolva as equações.
A)12(X+4)+6(X-4)+12=4(X-4)+14
B)20(X-3)+32(X-5)+80=14(X+10)+20-2X

Answer 1

a)

12(x+4)+6(x-4)+12=4(x-4)+14

12x+48+6x-24+12=4x-16+14

12x+6x-4x=-16+14+24-48-12

22x=-76+38

22x=-38

$x = \frac{ - 38}{22} \\ \\ x = \frac{ - 38 \div 2}{22 \div 2} = \frac{ - 19}{11}$

b)

20(x-3)+32(x-5)+80=14(x+10)+20-2x

20x-60+32x-160+80=14x+140+20-2x

20x+32x-14x+2x=140+20+60+160-80

40x=300

$x = \frac{300}{40} = 7.5$

Answer 2

Resolvendo as equações, temos:

A) x = - 19/7

B) x = 15/2

Explicação:

A) 12.(x + 4) + 6.(x - 4) + 12 = 4.(x - 4) + 14

12x + 48 + 6x - 24 + 12 = 4x - 16 + 14

12x + 6x + 48 - 24 + 12 = 4x - 2

18x + 36 = 4x - 2

18x - 4x = - 2 - 36

14x = - 38

x = - 38

       14

x = - 19

        7

B) 20.(x - 3) + 32.(x - 5) + 80 = 14.(x + 10) + 20 - 2x

20x - 60 + 32x - 160 + 80 = 14x + 140 + 20 - 2x

20x + 32x - 60 - 160 + 80 = 14x - 2x + 140 + 20

52x - 140 = 12x + 160

52x - 12x = 160 + 140

40x = 300

x = 300

      40

x = 30

      4

x = 15

     2

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