Question

1/2 (14x - 2) - 1/4 (-4x - 24)

Answer 1

The simplified value of the given linear expression is 8 x + 5

Explanation:

Given as :

The linear expression is

`(1)/(2)` × (14 x - 2) -
`(1)/(4)` × ( - 4 x - 24 )

Now, Simplifying the equation

taking common 2 and 4

`(1)/(2)` ×[ 2× (7 x - 1)] -
`(1)/(4)` ×[4× ( - x - 6 )]

Or,
`(2)/(2)` ×[(7 x - 1)] -
`(4)/(4)` ×[( - x - 6 )]

Or, 1 ×[(7 x - 1)] - 1 ×[( - x - 6 )]

Or, 7 x - 1 + x + 6

Or, (7 x + x) + ( - 1 + 6)

Or, 8 x + ( 5)

Or, 8 x + 5

So, The simplified value of the given linear expression is 8 x + 5 . Answer