9x-2[6x-(-x+4)-20]=-5x-3(2x-7)+9

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Solution for 9x-2[6x-(-x+4)-20]=-5x-3(2x-7)+9 equation: 


Simplifying
9x + -2[6x + -1(-1x + 4) + -20] = -5x + -3(2x + -7) + 9

Reorder the terms:
9x + -2[6x + -1(4 + -1x) + -20] = -5x + -3(2x + -7) + 9
9x + -2[6x + (4 * -1 + -1x * -1) + -20] = -5x + -3(2x + -7) + 9
9x + -2[6x + (-4 + 1x) + -20] = -5x + -3(2x + -7) + 9

Reorder the terms:
9x + -2[-4 + -20 + 6x + 1x] = -5x + -3(2x + -7) + 9

Combine like terms: -4 + -20 = -24
9x + -2[-24 + 6x + 1x] = -5x + -3(2x + -7) + 9

Combine like terms: 6x + 1x = 7x
9x + -2[-24 + 7x] = -5x + -3(2x + -7) + 9
9x + [-24 * -2 + 7x * -2] = -5x + -3(2x + -7) + 9
9x + [48 + -14x] = -5x + -3(2x + -7) + 9

Reorder the terms:
48 + 9x + -14x = -5x + -3(2x + -7) + 9

Combine like terms: 9x + -14x = -5x
48 + -5x = -5x + -3(2x + -7) + 9

Reorder the terms:
48 + -5x = -5x + -3(-7 + 2x) + 9
48 + -5x = -5x + (-7 * -3 + 2x * -3) + 9
48 + -5x = -5x + (21 + -6x) + 9

Reorder the terms:
48 + -5x = 21 + 9 + -5x + -6x

Combine like terms: 21 + 9 = 30
48 + -5x = 30 + -5x + -6x

Combine like terms: -5x + -6x = -11x
48 + -5x = 30 + -11x

Solving
48 + -5x = 30 + -11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11x' to each side of the equation.
48 + -5x + 11x = 30 + -11x + 11x

Combine like terms: -5x + 11x = 6x
48 + 6x = 30 + -11x + 11x

Combine like terms: -11x + 11x = 0
48 + 6x = 30 + 0
48 + 6x = 30

Add '-48' to each side of the equation.
48 + -48 + 6x = 30 + -48

Combine like terms: 48 + -48 = 0
0 + 6x = 30 + -48
6x = 30 + -48

Combine like terms: 30 + -48 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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