Question

Which expression is equivalent to the expression shown below?

-1/2(-3/2x + 6x + 1) - 3x

Answer 1

`-(1)/(2) (-(3)/(2) x+6x+1)-3x`
`=-(21x)/(4) -(1)/(2)`
`=-(1)/(2)((21x)/(2) +1)`

Explanation:

Given,

`-(1)/(2) (-(3)/(2) x+6x+1)-3x`

Applying distribution law

`=(-(1)/(2)) (-(3)/(2) x)+(-(1)/(2)).6x+(-(1)/(2)).1-3x`

`=(3)/(4) x-3x-(1)/(2)-3x`

Combine like terms

`=(3)/(4) x-3x-3x-(1)/(2)`

Adding like terms

`=(3x-12x-12x)/(4) -(1)/(2)`

`=-(21x)/(4) -(1)/(2)`

`=-(1)/(2)((21x)/(2) +1)`