Question

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

Answer 1

Answer:

$-\frac{9}{4}x-\frac{7}{2}$

Step-by-step explanation:

We want to find an expression that is equivalent to $-\frac{1}{2}(-\frac{3}{2}x+6x+1)-3$.

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:

$-\frac{1}{2}(\frac{9}{2}x+1)-3$

We now expand to get:

$-\frac{1}{2}*\frac{9}{2}x-\frac{1}{2}-3$

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

$-\frac{1}{2}*\frac{9}{2}x-\frac{7}{2}$

We now multiply to get:

$-\frac{9}{4}x-\frac{7}{2}$