Առաջադրանքներ (Հանրահաշիվ)

1)4 + x = 10

x = 10 — 4

x = 6

2)x + 5 = -3

x = -3 — 5

x = -8

3)7 + x = 4

x = 4 — 7

x = -3

4)(-6)  + x = 5

x = 5 + 6

x = 11

5)x — 8 = 2

x = 2 + 8

x = 10

6)(-1) + x = -5

x = -5 + 1

x = -4

7)(-3) + x = 0

x = 0 + 3 

x = 3

8)-4 — x = 0

-x = 0 + 4 

x = -4

9)18 — x = 6 

-x = 6 — 18

x = -12

10)20 — x = -4

-x = -4 — 20 

x = 24

11)x + (-5) = 13

x = 13 + 5

x = 18

12)x — (-8) = -4

x + 8 = -4

x = -4 — 8 

x = -12

13)3x = 12

x = 4

14)5x = 45

x = 9

15)4x = -20

x = -5

16)-2x = 12

x = -6

17)-6x = -18

x = x = 3

18)5x + 3 = 28

5x = 28 — 3

5x = 25

x = 5

19)7y + 5 = 26

7y = 26 — 5

7y = 21

y = 3

20)9x — 5 = 31

9x = 31 + 5

9x = 36

x = 4

21)3a — 2 = -17

3a = -17 + 2 

3a = -15

a = -5

22)4b + 3 = -13

4b = -13 — 3

4b = -16

b = -3

23)34 — 3x = -20

-3x = -20 — 34

-3x = -54

x = 18

24)7x — 8 = 41

7x = 41 + 8 

7x = 49

x = 7

25)28 + 3x = 7x

28 = 7x — 3x 

28 = 4x

7 = x

26)18 + 5x = 8x 

18 = 8x — 5x 

18 = 3x

6 = x

27)42 — 5y = 2y

42 = 2y + 5y 

42 = 7y

6 = y

28)3z + 18 = 5z

18 = 5z — 3z 

28 = 2z 

14 = z

29)5x + 18 = 3x + 38

5x — 3x = 38 — 18

2x = 20

x = 10

30)2y + 45 = 6y + 17

2y — 6y = 17 — 45

-4y = -28

y = 7

31)7z — 5 = 3z + 3

7z — 3z = 3 + 5

4x = 8

x = 2

32)14z + 23 = 19z — 2

14z — 19z = -2 — 23

-5z = -25

z = 5

33)5x + 3x — 10 = 14

5x + 3x = 14 + 10

8x = 24

x = 3

34)8m + m + 4 = 49

8m + m = 49 — 4

9m = 45

m = 4

35)7a + 2a + 4 = 40

7a + 2a = 40 — 4

9a = 36

a = 4

36)15y — 9y — 2 = 10

15y — 9y = 10 + 2

6y = 12

y = 2

37)-3 — 5x + 20 + 2x = 5

-3 + 20 — 5 = 5x — 2x

12 = -3x

4 = x

38)9b — 3 — 5b + 13 = 22

9b — 5b = 22 + 3 — 13

4b = 12

b = 3

39)12 — 3x + 5 = 5x + 1 

12 + 5 — 1 = 5x + 3x 

16 = 8x

2 = x

40)21a — 11 = 4 + 6a 

21a — 6a = 4 + 11

15a = 15

a = 1

41)16x + 10 — 21x = 35 — 10x — 5

16x — 21x + 10x = 35 — 10 — 5

5x = 20

x = 4

42)5y + 13 — 2y = 100 — 20y — 18

5y — 2y + 20y = 100 — 13 — 18

23y = 69

y = 3

43)7b — 9 — 8b = 23 — 15b — 18

7b — 8b + 15b = 23 + 9 — 18

14b = 14

b = 1

44)11a — 6 — 4a = 7a — 8 — 3a + 5

11a — 4a — 7a + 3a = -8 + 6 + 5

3a = 3

a = 3

45)27x + 36 — 18x — 39 — 6x — 24 = 0

27x — 18x — 6x = 0 — 36 + 39 + 24

3x = 27

x = 9

46)10y + 9 — 7y — 7 = 7y — 9 — 8y + 7 

10y — 7y — 7y + 8y = -9 — 9 + 7 + 7

4 = -4y

1 = y

47)(3x + 8) + (2x — 5) = 13

3x + 8 + 2x — 5 = 13

3x + 2x = 13 — 8 + 5

5x = 10

x = 2

48)(2y + 13) — (5y — 17) = 240

2y + 13 — 5y + 17 = 240

2y — 5y = 240 — 13 — 17

-3y = 210

y = -70

49)8x — (2x — 9) = 4x — (8x + 11)

8x + 2x + 9 = 4x — 8x — 11

8x + 2x — 4x + 8x = -9 — 11

10x = -20

x = -2

50)- (4z — 5) — (6 — 2z) = (5z — 8) — (4z + 5)

-4z + 5 — 6 + 2z = 5z — 8 — 4z — 5

-4z + 2z — 5z + 4z = -8 — 5 + 6 — 5

-3z = -12

51)(3y + 1) — (y — 4) = 48 — (5y + 8)

3y + 1 — y + 4 = 48 — 5y — 8 

3y — y + 5y = 48 — 1 — 4 — 8

7y = 35

y = 5

52)11 — (x + 2) + (-3x + 8) = 6x — (7 — 5x) — 6

11 — x — 2 —  3x + 8 = 6x — 7 + 5x — 6

11 — 2 + 8 + 7 + 6 = 6x + x + 3x + 5x

30 = 15x

2 = x

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