Question

3) Calaule
a) 4X-9=23
b) 7x-33=-12
c) 2x+4 = 16
d) 7X-2 = 12
e)9x-2=4x+18​

Answer 1

$a) \red{x = 8} \\ b) \red{x = 3} \\ c) \red{x = 6} \\ d) \red{x = 2} \\ e) \red{x = 4}$

Explicação passo a passo

$a) \green{4x - 9 = 23} \\ 4x - 9 = 23 \\ 4x - 9 + 9 = 23 + 9 \\ 4x = 23 + 9 \\ 4x - 9 = 23 \\ 4x = 23 + 9 \\ 4x = 32 \\ 4x \div 4 = 32 \div 4 \\ x = 32 \div 4 \\ 4x \div = 32 \div 4 \\ x = 8 \\ 4x = 32 \\ x = 8 \\ resposta \\ \pink{x = 8} \\ \\ b) \green{7x - 33 = - 12} \\ 7x - 33 = - 12 \\ 7x - 33 + 33 = - 12 + 33 \\ 7x = - 12 + 33 \\ 7x - 33 = - 12 \\ 7x = - 12 + 33 \\ - 12 + 33 \\ + (33 - 12) \\ 21 \\ 7x = - 12 + 33 \\ 7x = 21 \\ 7x \div 7 = 21 \div 7 \\ x = 21 \div 7 \\ 7x \div 7 = 21 \div 7 \\ x = 3 \\ 7x = 21 \\ x = 3 \\ resposta \\ \pink{x = 3} \\ \\ c) \green{2x +4 = 16 } \\ 2x + 4 = 16 \\ 2x + 4 - 4 = 16 - 4 \\ 2x = 16 - 4 \\ 2x + 4 = 16 \\ 2x = 16 - 4 \\ 2x = 12 \\ 2x \div2 = 12 \div 2 \\ x = 12 \div 2 \\ 2x \div 2 = 12 \div 2 \\ x = 6 \\ 2x = 12 \\ x = 6 \\ resposta \\ \pink{x = 6} \\ \\ d) \green{7x - 2 = 12} \\7x - 2 = 12 \\ 7x - 2 + 2 = 12 + 2 \\ 7x = 12 + 2 \\ 7x - 2 = 12 \\ 7x = 12 + 2 \\ 7x = 14 \\ 7x \div 7 = 14 \div 7 \\ x = 14 \div 7 \\ 7x \div 7 = 14 \div 7 \\ x = 2 \\ 7x = 14 \\ x = 2 \\ resposta \\ \pink{x = 2} \\ \\ e) \green{9x - 2 = 4x + 18} \\ 9x - 2 = 4x + 18 \\ 9x - 2 -4x = 4x + 18 - 4x \\ 9x - 2 - 4x = 18 \\ 9x - 2 = 4x +18 \\ 9x - 2 - 4x = 18 \\ 9x - 2 = 4x + 18 \\ 9x - 2 - 4x + 2 = 18 + 2 \\ 9x - 4x = 18 + 2 \\ 9x - 2 = 4x + 18 \\ 9x - 4x = 18 + 2 \\ 9x - 4x \\ (9 - 4)x \\ 5x \\ 9x - 4x = 18 + 2 \\ 5x = 18 + 2 \\ 9x - 4x =18 + 2 \\5x = 20 \\ 5x \div5 = 20 \div 5 \\ x = 20 \div 5 \\ 5x \div 5 = 20 \div 5 \\ x = 4 \\ 5x = 20 \\ x = 4 \\resposta \\ \pink{ x = 4}$

Answer 2

a)4x−9=23

4x−9=23

4x−9+9=23+9

4x=23+9

4x−9=23

4x=23+9

4x=32

4x÷4=32÷4

x=32÷4

4x÷=32÷4

x=8

4x=32

x=8

resposta

x=8

b)7x−33=−12

7x−33=−12

7x−33+33=−12+33

7x=−12+33

7x−33=−12

7x=−12+33

−12+33

+(33−12)

21

7x=−12+33

7x=21

7x÷7=21÷7

x=21÷7

7x÷7=21÷7

x=3

7x=21

x=3

resposta

x=3

c)2x+4=16

2x+4=16

2x+4−4=16−4

2x=16−4

2x+4=16

2x=16−4

2x=12

2x÷2=12÷2

x=12÷2

2x÷2=12÷2

x=6

2x=12

x=6

resposta

x=6

d)7x−2=12

7x−2=12

7x−2+2=12+2

7x=12+2

7x−2=12

7x=12+2

7x=14

7x÷7=14÷7

x=14÷7

7x÷7=14÷7

x=2

7x=14

x=2

resposta

x=2

e)9x−2=4x+18

9x−2=4x+18

9x−2−4x=4x+18−4x

9x−2−4x=18

9x−2=4x+18

9x−2−4x=18

9x−2=4x+18

9x−2−4x+2=18+2

9x−4x=18+2

9x−2=4x+18

9x−4x=18+2

9x−4x

(9−4)x

5x

9x−4x=18+2

5x=18+2

9x−4x=18+2

5x=20

5x÷5=20÷5

x=20÷5

5x÷5=20÷5

x=4

5x=20

x=4

resposta

x=4