Simplify: 2x-3[4-5 (6x+7y) - 8]

Simplify the following:

2 x - 3 (4 - 5 (6 x + 7 y) - 8)

Grouping like terms, 4 - 5 (6 x + 7 y) - 8 = - 5 (6 x + 7 y) + (4 - 8):

2 x - 3 (-5 (6 x + 7 y) + (4 - 8))

4 - 8 = - 4:

2 x - 3 (-4 - 5 (6 x + 7 y))

-5 (6 x + 7 y) = - 30 x - 35 y:

2 x - 3 (-30 x - 35 y - 4)

-3 (-4 - 30 x - 35 y) = 12 + 90 x + 105 y:

2 x + 12 + 90 x + 105 y

Grouping like terms, 2 x + 12 + 90 x + 105 y = 105 y + (2 x + 90 x) + 12:

105 y + (2 x + 90 x) + 12

2 x + 90 x = 92 x:

Answer: 105 y + 92 x + 12