Can you check my answer for simplifying -2[3(x - 2y) +7] + [3(2 - 5x) + 10] - 7[-2(x - 3) + 5]?

I came up with #-7x+12y+10#

1 Answer
Jim G.
Sep 5, 2017

#-7x+12y-75#

Explanation:

#"expanding term by term"#

#•color(white)(x)-2[3(x-2y)+7]#

#=-2[3x-6y+7]#

#=-6x+12y-14to(color(red)(1))#

#•color(white)(x)[3(2-5x)+10]#

#=6-15x+10=16-15xto(color(red)(2))#

#•color(white)(x)-7[-2(x-3)+5]#

#=-7[-2x+6+5]#

#=-7[11-2x]=-77+14xto(color(red)(3))#

#"adding all 3 expressions together"#

#-6x+12y-14+16-15x-77+14x#

#=-7x+12y-75#

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