How do you simplify #- 2( 3x - 4) + 2( 1- x )#?

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Answer 1 · 2017-05-30T16:30:59

See a solution process below:

First, expand each of the terms in parenthesis by multiplying the terms within the parenthesis by the term outside the parenthesis:

#color(red)(-2)(3x - 4) + color(blue)(2)(1 - x) =>#

#(color(red)(-2) xx 3x) - (color(red)(-2) xx 4) + (color(blue)(2) xx 1) - (color(blue)(2) xx x) =>#

#-6x - (-8) + 2 - 2x =>#

#-6x + 8 + 2 - 2x#

Now, group and combine like terms:

#-6x - 2x + 8 + 2#

#(-6 - 2)x + (8 + 2)#

#-8x + 10#