Question

5/6h - 7/12 = -3/4h - 13/6

Answer 1

h = -1

Explanation:

Answer 2

`(5)/(6) h` -
`(7)/(12)` =
`-(3)/(4) h` -
`(13)/(6)`

First, simplify
`(5)/(6) h` to
`(5h)/(6)` / Your problem should look like:
`(5h)/(6)` -
`(7)/(12)` =
`-(3)/(4) h` -
`(13)/(6)`
Second, simplify
`(3)/(4) h` to
`(3h)/(4)` / Your problem should look like:
`(5h)/(6)` -
`(7)/(12)` =
`- (3h)/(4)` -
`(13)/(6)`
Third, multiply both sides by 12, which is the LCM of 6 and 4. / Your problem should look like: 10h - 7 = -9h - 26
Fourth, add 9h to both sides. / Your problem should look like: 10h - 7 + 9h = -26
Fifth, simplify 10h - 7 + 9h to 19h - 7 / Your problem should look like: 19h - 7 = -26
Sixth, add 7 to both sides. / Your problem should look like: 19h = -26 + 7
Seventh, simplify -26 + 7 to -19. / Your problem should look like: 19h = -19
Eighth, divide both sides by 19. / Your problem should look like: h =
`- (19)/(19)`
Ninth, cancel out 19. / Your problem should look like: h = -1

Answer: h = -1