2x-3[2-5(1-4y)]-3[2y-5-(3x-9)]=

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Solution for 2x-3[2-5(1-4y)]-3[2y-5-(3x-9)]= equation: 


Simplifying
2x + -3[2 + -5(1 + -4y)] + -3[2y + -5 + -1(3x + -9)] = 0
2x + -3[2 + (1 * -5 + -4y * -5)] + -3[2y + -5 + -1(3x + -9)] = 0
2x + -3[2 + (-5 + 20y)] + -3[2y + -5 + -1(3x + -9)] = 0

Combine like terms: 2 + -5 = -3
2x + -3[-3 + 20y] + -3[2y + -5 + -1(3x + -9)] = 0
2x + [-3 * -3 + 20y * -3] + -3[2y + -5 + -1(3x + -9)] = 0
2x + [9 + -60y] + -3[2y + -5 + -1(3x + -9)] = 0

Reorder the terms:
2x + 9 + -60y + -3[2y + -5 + -1(-9 + 3x)] = 0
2x + 9 + -60y + -3[2y + -5 + (-9 * -1 + 3x * -1)] = 0
2x + 9 + -60y + -3[2y + -5 + (9 + -3x)] = 0

Reorder the terms:
2x + 9 + -60y + -3[-5 + 9 + -3x + 2y] = 0

Combine like terms: -5 + 9 = 4
2x + 9 + -60y + -3[4 + -3x + 2y] = 0
2x + 9 + -60y + [4 * -3 + -3x * -3 + 2y * -3] = 0
2x + 9 + -60y + [-12 + 9x + -6y] = 0

Reorder the terms:
9 + -12 + 2x + 9x + -60y + -6y = 0

Combine like terms: 9 + -12 = -3
-3 + 2x + 9x + -60y + -6y = 0

Combine like terms: 2x + 9x = 11x
-3 + 11x + -60y + -6y = 0

Combine like terms: -60y + -6y = -66y
-3 + 11x + -66y = 0

Solving
-3 + 11x + -66y = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 11x + 3 + -66y = 0 + 3

Reorder the terms:
-3 + 3 + 11x + -66y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 11x + -66y = 0 + 3
11x + -66y = 0 + 3

Combine like terms: 0 + 3 = 3
11x + -66y = 3

Add '66y' to each side of the equation.
11x + -66y + 66y = 3 + 66y

Combine like terms: -66y + 66y = 0
11x + 0 = 3 + 66y
11x = 3 + 66y

Divide each side by '11'.
x = 0.2727272727 + 6y

Simplifying
x = 0.2727272727 + 6y

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