What is 3(2x-y-2)-2[3(x-2y+4)-5(2x-3y+2)] ?

The solution to 3(2x-y-2)-2[3(x-2y+4)-5(2x-3y+2)] is 20x-21y-10

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simplify 3(2x-y-2)-2[3(x-2y+4)-5(2x-3y+2)]

simplify

3 (2 x - y - 2) - 2 [3 (x - 2 y + 4) - 5 (2 x - 3 y + 2)]

20 x - 21 y - 10

Solution steps

3 (2 x - y - 2) - 2 (3 (x - 2 y + 4) - 5 (2 x - 3 y + 2))

Expand

3 (x - 2 y + 4) - 5 (2 x - 3 y + 2) : - 7 x + 9 y + 2

= 3 (2 x - y - 2) - 2 (- 7 x + 9 y + 2)

Expand

3 (2 x - y - 2) : 6 x - 3 y - 6

= 6 x - 3 y - 6 - 2 (- 7 x + 9 y + 2)

Expand

- 2 (- 7 x + 9 y + 2) : 14 x - 18 y - 4

= 6 x - 3 y - 6 + 14 x - 18 y - 4

Group like terms

= 6 x + 14 x - 3 y - 18 y - 6 - 4

Add similar elements:

6 x + 14 x = 20 x

= 20 x - 3 y - 18 y - 6 - 4

Add similar elements:

- 3 y - 18 y = - 21 y

= 20 x - 21 y - 6 - 4

Subtract the numbers:

- 6 - 4 = - 10

= 20 x - 21 y - 10

(x + 3 x)^{2}

7 x^{2} - 567

\frac{1}{9} + 3

∣ - 8 i ∣

2 y^{2} + 13 y + 15

What is 3(2x-y-2)-2[3(x-2y+4)-5(2x-3y+2)] ?
The solution to 3(2x-y-2)-2[3(x-2y+4)-5(2x-3y+2)] is 20x-21y-10