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Solve the following equations:

16 + x = 31
0 = -18x
x/17 = -4
14 = v/16 -23
84 = -12x
280 = 20k
6x + 7 + 2x = -9
3a - 5a = -4
8n + 8n = 16
2x - 3 + 5 = 12
14 = -6k - 8k
-112 = 8 + 2(-8a-4)
3(5n - 3) = 81
7(p + 3) + 5 = 82
-188 = -6(2 - 3a) + 4a

1 Answer

6 votes

Final answer:

To solve each equation, isolate the variable by performing the necessary operations on both sides of the equation.

Step-by-step explanation:

To solve the given equations:

  1. 16 + x = 31
  2. 0 = -18x
  3. x/17 = -4
  4. 14 = v/16 -23
  5. 84 = -12x
  6. 280 = 20k
  7. 6x + 7 + 2x = -9
  8. 3a - 5a = -4
  9. 8n + 8n = 16
  10. 2x - 3 + 5 = 12
  11. 14 = -6k - 8k
  12. -112 = 8 + 2(-8a-4)
  13. 3(5n - 3) = 81
  14. 7(p + 3) + 5 = 82
  15. -188 = -6(2 - 3a) + 4a

The solutions to the equations are as follows:

  1. x = 15
  2. x = 0
  3. x = -68
  4. v = 89
  5. x = -7
  6. k = 14
  7. x = -4
  8. a = 2
  9. n = 1
  10. x = 10
  11. k = -1
  12. a = 4
  13. n = 6
  14. p = 7
  15. a = -5
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