Question

1/2(4-+6x)=1/3x+2/3(x+9)

Answer 1

The value of x for the expression is 2

Explanation:

Given algebraic expression as :

`(1)/(2)`(4 + 6 x ) =
`(1)/(3)` x +
`(2)/(3)` ( x + 9 )

Now, solving the given expression

Or,
`(1)/(2)` × 4 +
`(1)/(2)` × 6 x =
`(1)/(3)` x +
`(2)/(3)` x +
`(2)/(3)` × 9

Or,
`(4)/(2)` +
`(6)/(2)` × x =
`(1)/(3)` x +
`(2)/(3)` x +
`(18)/(3)`

or, 2 + 3 × x =
`(x)/(3)` +
`(2 x)/(3)` + 6

or, 2 + 3 × x =
`(2 x + x)/(3)` + 6

or, 2 + 3 × x =
`(3 x)/(3)` + 6

Or, 2 + 3 × x = x + 6

or, 3 x - x = 6 - 2

Or, 2 x = 4

∴ x =
`(4)/(2)`

I.e x = 2

Hence The value of x for the expression is 2 Answer