Very Simple Medium (50 Ques)

Here are 50 equations similar to the one you provided but with different digits: 

 

1. 7x - 4 = 10 - 3x 

2. 5x - 2 = 12 - x 

3. 9x - 5 = 14 - 4x 

4. 6x - 3 = 13 - 2x 

5. 10x - 6 = 15 - 5x 

6. 11x - 7 = 16 - 6x 

7. 12x - 4 = 18 - 7x 

8. 13x - 8 = 20 - 9x 

9. 14x - 9 = 17 - 8x 

10. 15x - 5 = 21 - 10x 

11. 16x - 10 = 22 - 11x 

12. 17x - 6 = 24 - 12x 

13. 18x - 11 = 25 - 13x 

14. 19x - 7 = 23 - 14x 

15. 20x - 8 = 26 - 15x 

16. 21x - 12 = 27 - 16x 

17. 22x - 9 = 29 - 17x 

18. 23x - 13 = 30 - 18x 

19. 24x - 10 = 28 - 19x 

20. 25x - 14 = 31 - 20x 

21. 26x - 11 = 32 - 21x 

22. 27x - 15 = 34 - 22x 

23. 28x - 12 = 33 - 23x 

24. 29x - 16 = 35 - 24x 

25. 30x - 13 = 36 - 25x 

26. 31x - 17 = 38 - 26x 

27. 32x - 14 = 37 - 27x 

28. 33x - 18 = 39 - 28x 

29. 34x - 15 = 40 - 29x 

30. 35x - 19 = 42 - 30x 

31. 36x - 16 = 41 - 31x 

32. 37x - 20 = 43 - 32x 

33. 38x - 17 = 44 - 33x 

34. 39x - 21 = 46 - 34x 

35. 40x - 18 = 45 - 35x 

36. 41x - 22 = 47 - 36x 

37. 42x - 19 = 49 - 37x 

38. 43x - 23 = 50 - 38x 

39. 44x - 20 = 48 - 39x 

40. 45x - 24 = 51 - 40x 

41. 46x - 21 = 52 - 41x 

42. 47x - 25 = 54 - 42x 

43. 48x - 22 = 53 - 43x 

44. 49x - 26 = 55 - 44x 

45. 50x - 23 = 56 - 45x 

46. 51x - 27 = 58 - 46x 

47. 52x - 24 = 57 - 47x 

48. 53x - 28 = 59 - 48x 

49. 54x - 25 = 60 - 49x 

50. 55x - 29 = 62 – 50x

Answers

1. 7x - 4 = 10 - 3x  

    

   7x + 3x = 10 + 4 \implies 10x = 14 \implies x = 14/10 = 7/5 

    

  

2. 5x - 2 = 12 - x  

    

   5x + x = 12 + 2 \implies 6x = 14 \implies x = 14/6 = 7/3

    

  

3. 9x - 5 = 14 - 4x  

    

   9x + 4x = 14 + 5 \implies 13x = 19 \implies x = 19/13 

    

  

4. 6x - 3 = 13 - 2x  

    

   6x + 2x = 13 + 3 \implies 8x = 16 \implies x = 16/8 = 2 

    

  

5. 10x - 6 = 15 - 5x  

    

   10x + 5x = 15 + 6 \implies 15x = 21 \implies x = 21/15 = 7/5 

    

  

6. 11x - 7 = 16 - 6x  

    

   11x + 6x = 16 + 7 \implies 17x = 23 \implies x = 23/17 

    

  

7. 12x - 4 = 18 - 7x  

    

   12x + 7x = 18 + 4 \implies 19x = 22 \implies x = 22/19

    

  

8. 13x - 8 = 20 - 9x  

    

   13x + 9x = 20 + 8 \implies 22x = 28 \implies x = 28/22 = 14/11 

    

  

9. 14x - 9 = 17 - 8x  

    

   14x + 8x = 17 + 9 \implies 22x = 26 \implies x = 26/22 = 13/11 

    

  

10. 15x - 5 = 21 - 10x  

     

    15x + 10x = 21 + 5 \implies 25x = 26 \implies x = 26/25 

     

  

11. 16x - 10 = 22 - 11x  

     

    16x + 11x = 22 + 10 \implies 27x = 32 \implies x = 32/27 

     

  

12. 17x - 6 = 24 - 12x  

     

    17x + 12x = 24 + 6 \implies 29x = 30 \implies x = 30/29 

     

  

13. 18x - 11 = 25 - 13x  

     

    18x + 13x = 25 + 11 \implies 31x = 36 \implies x = 36/31 

     

  

14. 19x - 7 = 23 - 14x  

     

    19x + 14x = 23 + 7 \implies 33x = 30 \implies x = 30/33 = 10/11 

     

  

15. 20x - 8 = 26 - 15x  

     

    20x + 15x = 26 + 8 \implies 35x = 34 \implies x = 34/35 

     

  

16. 21x - 12 = 27 - 16x  

     

    21x + 16x = 27 + 12 \implies 37x = 39 \implies x = 39/37 

     

  

17. 22x - 9 = 29 - 17x  

     

    22x + 17x = 29 + 9 \implies 39x = 38 \implies x = 38/39 

     

  

18. 23x - 13 = 30 - 18x  

     

    23x + 18x = 30 + 13 \implies 41x = 43 \implies x = 43/41 

     

  

19. 24x - 10 = 28 - 19x  

     

    24x + 19x = 28 + 10 \implies 43x = 38 \implies x = 38/43 

     

  

20. 25x - 14 = 31 - 20x

     

    25x + 20x = 31 + 14 \implies 45x = 45 \implies x = 1 

     

  

21. 26x - 11 = 32 - 21x  

     

    26x + 21x = 32 + 11 \implies 47x = 43 \implies x = 43/47 

     

  

22. 27x - 15 = 34 - 22x  

     

    27x + 22x = 34 + 15 \implies 49x = 49 \implies x = 1 

     

  

23. 28x - 12 = 33 - 23x  

     

    28x + 23x = 33 + 12 \implies 51x = 45 \implies x = 45/51 = 15/17 

     

  

24. 29x - 16 = 35 - 24x  

     

    29x + 24x = 35 + 16 \implies 53x = 51 \implies x = 51/53 

     

  

25. 30x - 13 = 36 - 25x  

     

    30x + 25x = 36 + 13 \implies 55x = 49 \implies x = 49/55 

     

  

26. 31x - 17 = 38 - 26x  

     

    31x + 26x = 38 + 17 \implies 57x = 55 \implies x = 55/57 

     

 

     

    32x + 27x = 37 + 14 \implies 59x = 51 \implies x = 51/59 

     

  

28. 33x - 18 = 39 - 28x  

     

    33x + 28x = 39 + 18 \implies 61x = 57 \implies x = 57/61 

     

  

29. 34x - 15 = 40 - 29x  

     

    34x + 29x = 40 + 15 \implies 63x = 55 \implies x = 55/63 

     

  

30. 35x - 19 = 42 - 30x  

     

    35x + 30x = 42 + 19 \implies 65x = 61 \implies x = 61/65 

     

  

31. 36x - 16 = 41 - 31x  

     

    36x + 31x = 41 + 16 \implies 67x = 57 \implies x = 57/67 

     

  

32. 37x - 20 = 43 - 32x  

     

    37x + 32x = 43 + 20 \implies 69x = 63 \implies x = 63/69 = 21/23 

     

  

33. 38x - 17 = 44 - 33x  

     

    38x + 33x = 44 + 17 \implies 71x = 61 \implies x = 61/71 

34. 39x−21=46−34x

3. Solve for x: x=6773x = 67/73 

35. 40x−18=45−35x

40x - 18 = 45 - 35x  

3. Solve for xx: x=6375=2125x = 63/75 = 21/25 

36. 41x−22=47−36x

41x - 22 = 47 - 36x 

1. Move all xx-terms to one side: 41x+36x=47+2241x + 36x = 47 + 22 

2. Simplify: 77x=6977x = 69 

3. Solve for xx: x=6977x = 69/77 

37. 42x−19=49−37x

42x - 19 = 49 - 37x 

1. Move all xx-terms to one side: 42x+37x=49+1942x + 37x = 49 + 19 

2. Simplify: 79x=6879x = 68 

3. Solve for xx: x=6879x = 68/79 

38. 43x−23=50−38x

43x - 23 = 50 - 38x 

1. Move all xx-terms to one side: 43x+38x=50+2343x + 38x = 50 + 23 

2. Simplify: 81x=7381x = 73 

3. Solve for xx: x=7381x = 73/81 

39. 44x−20=48−39x

44x - 20 = 48 - 39x 

1. Move all xx-terms to one side: 44x+39x=48+2044x + 39x = 48 + 20 

2. Simplify: 83x=6883x = 68 

3. Solve for xx: x=6883x = 68/83 

40. 45x−24=51−40x

45x - 24 = 51 - 40x 

1. Move all xx-terms to one side: 45x+40x=51+2445x + 40x = 51 + 24 

2. Simplify: 85x=7585x = 75 

3. Solve for xx: x=7585=1517x = 75/85 = 15/17 

41. 46x−21=52−41x

46x - 21 = 52 - 41x 

1. Move all xx-terms to one side: 46x+41x=52+2146x + 41x = 52 + 21 

2. Simplify: 87x=7387x = 73 

3. Solve for xx: x=7387x = 73/87 

42. 47x−25=54−42x

47x - 25 = 54 - 42x 

1. Move all xx-terms to one side: 47x+42x=54+2547x + 42x = 54 + 25 

2. Simplify: 89x=7989x = 79 

3. Solve for xx: x=7989x = 79/89 

43. 48x−22=53−43x

48x - 22 = 53 - 43x 

1. Move all xx-terms to one side: 48x+43x=53+2248x + 43x = 53 + 22 

2. Simplify: 91x=7591x = 75 

3. Solve for xx: x=7591x = 75/91 

44. 49x−26=55−44x49x - 26 = 55 - 44x 

1. Move all xx-terms to one side: 49x+44x=55+2649x + 44x = 55 + 26 

2. Simplify: 93x=8193x = 81 

3. Solve for xx: x=8193=2731x = 81/93 = 27/31 

45. 50x−23=56−45x

50x - 23 = 56 - 45x 

1. Move all xx-terms to one side: 50x+45x=56+2350x + 45x = 56 + 23 

2. Simplify: 95x=7995x = 79 

3. Solve for xx: x=7995x = 79/95 

46. 51x−27=58−46x

51x - 27 = 58 - 46x 

1. Move all xx-terms to one side: 51x+46x=58+2751x + 46x = 58 + 27 

2. Simplify: 97x=8597x = 85 

3. Solve for xx: x=8597x = 85/97 

47. 52x−24=57−47x

52x - 24 = 57 - 47x 

1. Move all xx-terms to one side: 52x+47x=57+2452x + 47x = 57 + 24 

2. Simplify: 99x=8199x = 81 

3. Solve for xx: x=8199=2733=911x = 81/99 = 27/33 = 9/11 

48. 53x−28=59−48x

53x - 28 = 59 - 48x 

1. Move all xx-terms to one side: 53x+48x=59+2853x + 48x = 59 + 28 

2. Simplify: 101x=87101x = 87 

3. Solve for xx: x=87101x = 87/101 

49. 54x−25=60−49x

54x - 25 = 60 - 49x 

1. Move all xx-terms to one side: 54x+49x=60+2554x + 49x = 60 + 25 

2. Simplify: 103x=85103x = 85 

3. Solve for xx: x=85103x = 85/103 

50. 55x−29=62−50x

55x - 29 = 62 - 50x 

1. Move all xx-terms to one side: 55x+50x=62+2955x + 50x = 62 + 29 

2. Simplify: 105x=91105x = 91 

3. Solve for xx: x=91105=1315x = 91/105 = 13/15 

 

These are the solutions for each of the equations. Let me know if you'd like further clarification on any specific solution!