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
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