Question

How do you solve `6k+3(k+2)=5k+12`?

Answer 1

`k = 3/2`

Explanation:

`6 k + 3(k + 2) = 5 k + 12`

expand the parenthesis
`6 k + 3k + 6 = 5 k + 12`
`9k + 6 = 5 k + 12`

minus `5 k` to both sides
`9k + 6 - 5k = 5k +12 - 5k`
`4k + 6 = 12`

minus `6` to both sides
`4k + 6 - 6 = 12 - 6`
`4 k = 6`

divide `4` to both sides
`(4 k) /4 = 6/4`
`k = 6/4 = 3/2`