Question

Solve the equation with all steps.

3/2x-2/3x=2

Answer 1

x =
`(12)/(5)`

Explanation:

Given

`(3)/(2)` x -
`(2)/(3)` x = 2 ( multiply through by 6 to clear the fractions )

9x - 4x = 12

5x = 12 ( divide both sides by 5 )

x =
`(12)/(5)`

Answer 2

`x = (5)/(12)`

Explanation:

`(3)/(2x) - (2)/(3x)`

➡️
`(3)/(2x) - (2)/(3x) = 2`

➡️
`(5)/(6x) = 2`

➡️
`5 = 12x = 12x = 5`

➡️
`x = (5)/(12)`