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3.5. SOLVING EQUATIONS INVOLVING INTEGERS II
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Exercises
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In Exercises 1-16, solve the equation.
1. −9x + x = −8
9. 0 = −18x + 18
2. 4x − 5x = −3
10. 0 = −x + 71
3. −4 = 3x − 4x
11. 41 = 28x + 97
4. −6 = −5x + 7x
12. −65 = −x − 35
5. 27x + 51 = −84
13. 8x − 8 − 9x = −3
6. −20x + 46 = 26
14. 6x + 7 − 9x = 4
7. 9 = 5x + 9 − 6x
15. −85x + 85 = 0
8. −6 = x + 3 − 4x
16. 17x − 17 = 0
In Exercises 17-34, solve the equation.
17. −6x = −5x − 9
26. 3x = 4x − 6
18. −5x = −3x − 2
27. 2x − 2 = 4x
19. 6x − 7 = 5x
28. 6x − 4 = 2x
20. 3x + 8 = −5x
29. −6x + 8 = −2x
21. 4x − 3 = 5x − 1
30. 4x − 9 = 3x
22. x − 2 = 9x − 2
31. 6x = 4x − 4
23. −3x + 5 = 3x − 1
32. −8x = −6x + 8
24. −5x + 9 = −4x − 3
33. −8x + 2 = −6x + 6
25. −5x = −3x + 6
34. −3x + 6 = −2x − 5
In Exercises 35-52, solve the equation.
35. 1 − (x − 2) = −3
40. −7(−2x − 4) = −14
36. 1 − 8(x − 8) = 17
41. −7(−4x − 6) = −14
37. −7x + 6(x + 8) = −2
42. −2(2x + 8) = −8
38. −8x + 4(x + 7) = −12
43. 2 − 9(x − 5) = −16
39. 8(−6x − 1) = −8
44. 7 − 2(x + 4) = −1
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214
CHAPTER 3. THE FUNDAMENTALS OF ALGEBRA
45. 7x + 2(x + 9) = −9
49. 8 + 2(x − 5) = −4
46. −8x + 7(x − 2) = −14
50. −5 + 2(x + 5) = −5
47. 2(−x + 8) = 10
51. 9x − 2(x + 5) = −10
48. 2(−x − 2) = 10
52. −8x − 5(x − 3) = 15
In Exercises 53-68, solve the equation.
53. 4(−7x + 5) + 8 = 3(−9x − 1) − 2
61. 2(−2x − 3) = 3(−x + 2)
54. −4(−x + 9) + 5 = −(−5x − 4) − 2
62. −2(7x + 1) = −2(3x − 7)
55. −8(−2x − 6) = 7(5x − 1) − 2
63. −5(−9x + 7) + 7 = −(−9x − 8)
56. 5(−4x − 8) = −9(−6x + 4) − 4
64. 7(−2x − 6) + 1 = 9(−2x + 7)
57. 2(2x − 9) + 5 = −7(−x − 8)
65. 5(5x − 2) = 4(8x + 1)
58. −6(−4x − 9) + 4 = −2(−9x − 8)
66. 5(−x − 4) = −(−x + 8)
59. 6(−3x + 4) − 6 = −8(2x + 2) − 8
67. −7(9x − 6) = 7(5x + 7) − 7
60. −5(5x − 9) − 3 = −4(2x + 5) − 6
68. −8(2x + 1) = 2(−9x + 8) − 2
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Answers
1. 1
21. −2
3. 4
23. 1
5. −5
25. −3
7. 0
27. −1
9. 1
11. −2
13. −5
29. 2
31. −2
33. −2
35. 6
15. 1
37. 50
17. 9
19. 7
39. 0
41. −2
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3.5. SOLVING EQUATIONS INVOLVING INTEGERS II
43. 7
57. −23
45. −3
59. 21
47. 3
49. −1
61. −12
63. 1
51. 0
53. 33
55. 3
65. −2
67. 0
215
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