How do you simplify #-2(3x-2)-2x#?

1 Answer
Dec 30, 2016

Answer:

See explanation below:

Explanation:

First, expand the term in parenthesis #(color(blue)(3x) - color(blue)(2)#) by multiplying it by the term outside the parenthesis - #color(red)(-2)#. Be careful to manage the signs correctly:

#(color(red)(-2) * color(blue)(3x)) + (color(red)(-2) * color(blue)(-2)) - 2x ->#

#(-6x) + (+4) - 2x -> -6x + 4 - 2x#

Next group like terms:

#-6x - 2x + 4#

Now, combine like terms:

#(-6 - 2)x + 4#

#-8x + 4# or #4(2 - x)#