Question

Which expression is equivalent to -1/2(-3/2x+6x+1)-3

Answer 1

`-(9)/(4)x-(7)/(2)`

Explanation:

We want to find an expression that is equivalent to
`-(1)/(2)(-(3)/(2)x+6x+1)-3`.

Since we can;t get the options, we simplify the given expression.

The reason is that, the given expression will be equivalent to the simplified one.

We combine similar terms to get:

`-(1)/(2)((9)/(2)x+1)-3`

We now expand to get:

`-(1)/(2)*(9)/(2)x-(1)/(2)-3`

We perform the subtraction of the last two terms to get:

`-(1)/(2)*(9)/(2)x-(7)/(2)`

We now multiply to get:

`-(9)/(4)x-(7)/(2)`