Question

1/2(x -2)+3=3/8(3x-4);4

Answer 1

The value of x for given expression is
`(28)/(5)` .

Explanation:

Given expression as :

`(1)/(2)`×(x - 2) + 3 =
`(3)/(8)`×(3 x - 4)

Or,
`(x)/(2)` -
`(2)/(2)` + 3 =
`(3* 3 x)/(8)` -
`(3* 4)/(8)`

Or,
`(x)/(2)` - 1 + 3 =
`(9 x)/(8)` -
`(3)/(2)`

Or,
`(x)/(2)` + 2 =
`(9 x)/(8)` -
`(3)/(2)`

Now, rearranging both sides

So, 2 +
`(3)/(2)` =
`(9 x)/(8)` -
`(x)/(2)`

Taking LCM , we get

`(4 + 3)/(2)` =
`(9 x - 4 x)/(8)`

Or,
`(7)/(2)` =
`(5 x)/(8)`

Or, 5 x =
`(7)/(2)` × 8

Or, 5 x =
`(7* 8)/(2)`

Or, 5 x = 28

∴ x =
`(28)/(5)`

So, The value of x =
`(28)/(5)`

Hence,The value of x for given expression is
`(28)/(5)` . Answer