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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15b+2-13 = 13b+6-4b 15b-11 = 9b+6 15b-9b = 6+11 6b = 17 b =17/6 or 2 and 5/6
10ab + 15b = 5b (2a + 3)
15b/39b4 = 5/13*b-3
3
The LCM is 180abc.