Question

Solve the equation:

3 - 2/9b = 1/3b - 7

Answer 1

the answer is b = 18

Answer 2

3 -
`(3)/(9) b` =
`(1)/(3) b` - 7

First, simplify
`(2)/(9) b` to
`(2b)/(9)` / Your problem should look like: 3 -
`(2b)/(9)` =
`(1)/(3) b` - 7
Second, simplify
`(1)/(3) b` to
`(b)/(3)` / Your problem should look like: 3 -
`(2b)/(9)` =
`(b)/(3)` - 7
Third, multiply both sides by 9 (the LCD of 9,3). / Your problem should look like: 27 - 2b = 3b - 63
Fourth, add 2b to both sides. / Your problem should look like: 27 = 3b - 63 + 2b
Fifth, simplify 3b - 63 + 2b to 5b - 63. / Your problem should look like: 27 = 5b - 63
Sixth, add 63 to both sides. / Your problem should look like: 27 + 63 = 5b
Seventh, simplify 27 + 63 to 90. / Your problem should look like: 90 = 5b
Eighth, divide both sides by 5. / Your problem should look like:
`(90)/(5)` = b
Ninth, simplify
`(90)/(5)` to 18. / Your problem should look like: 18 = b
Tenth, switch sides. Your problem should look like: b = 18

Answer: b = 18