2x+2[3x-[5x+2(x-1)-3(4x-5)]+3]=0

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Solution for 2x+2[3x-[5x+2(x-1)-3(4x-5)]+3]=0 equation: 


Simplifying
2x + 2[3x + -1[5x + 2(x + -1) + -3(4x + -5)] + 3] = 0

Reorder the terms:
2x + 2[3x + -1[5x + 2(-1 + x) + -3(4x + -5)] + 3] = 0
2x + 2[3x + -1[5x + (-1 * 2 + x * 2) + -3(4x + -5)] + 3] = 0
2x + 2[3x + -1[5x + (-2 + 2x) + -3(4x + -5)] + 3] = 0

Reorder the terms:
2x + 2[3x + -1[5x + -2 + 2x + -3(-5 + 4x)] + 3] = 0
2x + 2[3x + -1[5x + -2 + 2x + (-5 * -3 + 4x * -3)] + 3] = 0
2x + 2[3x + -1[5x + -2 + 2x + (15 + -12x)] + 3] = 0

Reorder the terms:
2x + 2[3x + -1[-2 + 15 + 5x + 2x + -12x] + 3] = 0

Combine like terms: -2 + 15 = 13
2x + 2[3x + -1[13 + 5x + 2x + -12x] + 3] = 0

Combine like terms: 5x + 2x = 7x
2x + 2[3x + -1[13 + 7x + -12x] + 3] = 0

Combine like terms: 7x + -12x = -5x
2x + 2[3x + -1[13 + -5x] + 3] = 0
2x + 2[3x + [13 * -1 + -5x * -1] + 3] = 0
2x + 2[3x + [-13 + 5x] + 3] = 0

Reorder the terms:
2x + 2[-13 + 3 + 3x + 5x] = 0

Combine like terms: -13 + 3 = -10
2x + 2[-10 + 3x + 5x] = 0

Combine like terms: 3x + 5x = 8x
2x + 2[-10 + 8x] = 0
2x + [-10 * 2 + 8x * 2] = 0
2x + [-20 + 16x] = 0

Reorder the terms:
-20 + 2x + 16x = 0

Combine like terms: 2x + 16x = 18x
-20 + 18x = 0

Solving
-20 + 18x = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 18x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 18x = 0 + 20
18x = 0 + 20

Combine like terms: 0 + 20 = 20
18x = 20

Divide each side by '18'.
x = 1.111111111

Simplifying
x = 1.111111111

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