Question

1/2 (x−8)+1=2( 1 8 x−1)

Answer 1

The solution for the given algebraic equation is
`( - 2)/(71)`

Explanation:

Given algebraic equation as :

`(1)/(2)` ( x - 8 ) + 1 = 2 ( 18 x - 1 )

Now solving the equation while opening the brackets

So,
`(1)/(2)` × x -
`(1)/(2)` × 8 + 1 = 2 × 18 x - 2

Or,
`(x)/(2)` -
`(8)/(2)` + 1 = 36 x - 2

or,
`(x)/(2)` - 4 + 1 = 36 x - 2

or,
`(x)/(2)` - 3 = 36 x - 2

or,
`(x)/(2)` - 36 x = - 2 + 3

Or,
`(x)/(2)` - 36 x = 1

or,
`(x - 72 x)/(2)` = 1

or,
`(- 71 x)/(2)` = 1

∴ 71 x = - 2

I.e x =
`( - 2)/(71)`

Hence The solution for the given algebraic equation is
`( - 2)/(71)` Answer