How do you simplify #-3 { 4x - 2 [ 3x - 4 ( x - 1 ) -2 ] -3 } +7#?

1 Answer
Aug 11, 2017

Answer:

#= -18x+28#

Explanation:

There are 2 terms. The second term of #7# will be added in the last step.

Start by multiplying the innermost bracket and work outwards.

#-3{4x-2[3xcolor(blue)(-4(x-1))-2]-3}+7#

#= -3{4x-2[3xcolor(blue)(-4x+4)-2]-3}+7" "larr# simplify

#=-3{4xcolor(red)(-2)[-x+2]-3}+7" "larr xx color(red)(-2)#

#=-3{4xcolor(red)(+2x-4)-3}+7" "larr# simplify

#=color(green)(-3){6x-7}+7" "larr color(green)(xx -3)#

#=color(green)(-18x+21) +7#

#= -18x+28#