Question

Which expression is equivalent to the expression shown below?

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

Answer 1

Answer:

$-\frac{1}{2} (-\frac{3}{2} x+6x+1)-3x$ $=-\frac{21x}{4} -\frac{1}{2}$ $=-\frac{1}{2}(\frac{21x}{2} +1)$

Step-by-step explanation:

Given,

$-\frac{1}{2} (-\frac{3}{2} x+6x+1)-3x$

Applying distribution law

$=(-\frac{1}{2}) (-\frac{3}{2} x)+(-\frac{1}{2}).6x+(-\frac{1}{2}).1-3x$

$=\frac{3}{4} x-3x-\frac{1}{2}-3x$

Combine like terms

$=\frac{3}{4} x-3x-3x-\frac{1}{2}$

Adding like terms

$=\frac{3x-12x-12x}{4} -\frac{1}{2}$

$=-\frac{21x}{4} -\frac{1}{2}$

$=-\frac{1}{2}(\frac{21x}{2} +1)$