How do you simplify #2-3[x-2-5(x-1)]#?

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Answer 1 · 2018-03-26T14:52:58

#-7 + 12x#

I'm gonna break this into chunks and work form the inside outward:

#color(green)( 2 + ) color(orange)( -3( x - 2 + color(blue)( -5(x-1) ) ) ) #

Let's deal with #color(blue)( -5(x-1)# first and simplify this:

#color(blue)(5x + 5)#

#color(green)( 2 + ) color(orange)( -3( x - 2 + color(blue)(-5x + 5) ) ) #

#color(green)( 2 + ) color(orange)( -3( x - 2 - 5x + 5 ) ) #

Now we can work on #color(orange)( -3( x - 2 - 5x + 5 )#

#color(orange)(-3x + 6 + 15x - 15#

simplify

#color(orange)(-9 + 12x#

Now we've got #color(green)( 2 + ) color(orange)(-9 - 18x#

#color(green)( 2 + -9 + 12x#

#color(green)(-7 + 12x#