Question

6(3x/2-4) =30

Side note: 3x/2 is a fraction

Answer 1

x = 6

Explanation:

`6( (3x)/(2) - 4) = 30`

Dividing both the sides by 6 ,

`= > (6( (3x)/(2) - 4) )/(6) = (30)/(6)`

`= > (3x)/(2) - 4 = 5`

Adding 4 on both the sides ,

`= > (3x)/(2) - 4 + 4 = 5 + 4`

`= > (3x)/(2) = 9`

Multiplying both the sides by 2 ,

`= > (3x)/(2) * 2 = 9 * 2`

`= > 3x = 18`

Dividing both the sides by 3,

`= > (3x)/(3) = (18)/(3)`

`= > x = 6`

Answer 2

x = 6

Explanation:

Given

6(
`(3x)/(2)` - 4 ) = 30 ( divide both sides by 6 )

`(3x)/(2)` - 4 = 5 ( add 4 to both sides )

`(3x)/(2)` = 9 ( multiply both sides by 2 to clear the fraction )

3x = 18 ( divide both sides by 3 )

x = 6