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12b - 5 = 15b + 5

subtract 12b from both sides

12b - 12b - 5 = 15b - 12b + 5

- 5 = 3b + 5

subtract 5 from each side

- 5 - 5 = 3b + 5 - 5

- 10 = 3b

divide both sides integers by 3

- 10/3 = (3/3)b

- 10/3 = b

---------------------check in original equation ( change whole numbers to fractions of common denominations )

12(-10/3) - 15/3 = 15(-10/3) + 15/3

- 120/3 - 15/3 = - 150/3 + 15/3

- 45 = - 45

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