How do you simplify ${3 (2 x - y - 2) - 2 [3 (x - 2 y + 4) - 5 (2 x - 3 y + 2)]}$ ${3( 2x - y - 2) - 2[ 3( x - 2y + 4) - 5( 2x - 3y + 2) \] \}$ ?

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Answer 1 · 2017-12-25T07:13:58

$10 x - 12 y - 28$ $10x-12y-28$

Distribute (Multiply them out)
${3 (2 x - y - 2) - 2 [3 (x - 2 y + 4) - 5 (2 x - 3 y + 2)]}$ ${3(2x-y-2)-2[3(x-2y+4)-5(2x-3y+2)]}$
${6 x - 3 y - 6 - 6 x + 6 y - 12 - 10 x - 15 y - 10}$ ${6x-3y-6-6x+6y-12-10x-15y-10}$
Add like terms and simplify.
$6 x - 6 x + 10 x - 3 y + 6 y - 15 y - 6 - 12 - 10$ $6x-6x+10x-3y+6y-15y-6-12-10$
$10 x - 12 y - 28$ $10x-12y-28$

Answer 2 · 2017-12-25T07:16:50

$20 x - 21 y - 10$ $20x-21y-10$

Original: ${3 (2 x - y - 2) - 2 [3 (x - 2 y + 4) - 5 (2 x - 3 y + 2)]}$ ${3(2x-y-2)-2[3(x-2y+4)-5(2x-3y+2)]}$

<=> ${6 x - 3 y - 6 - 2 [3 x - 6 y + 12 - 10 x + 15 y - 10]$ ${6x-3y-6-2[3x-6y+12-10x+15y-10]$

<=> ${6 x - 3 y - 6 - 6 x + 12 y - 24 + 20 x - 30 y + 20}$ ${6x-3y-6-6x+12y-24+20x-30y+20}$

Now, we can rearrange

<=> ${6 x - 6 x + 20 x - 3 y - 30 y + 12 y - 6 - 24 + 20}$ ${6x-6x+20x-3y-30y+12y-6-24+20}$

= $20 x - 21 y - 10$ $20x-21y-10$

How do you simplify {3(2x−y−2)−2[3(x−2y+4)−5(2x−3y+2)]}{3( 2x - y - 2) - 2[ 3( x - 2y + 4) - 5( 2x - 3y + 2) \] \}?