3*x-(-7*x+2)-(x-2*(6*x+5)+(-2-9*x))=0

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Solution for 3*x-(-7*x+2)-(x-2*(6*x+5)+(-2-9*x))=0 equation: 


Simplifying
3x + -1(-7x + 2) + -1(x + -2(6x + 5) + (-2 + -9x)) = 0

Reorder the terms:
3x + -1(2 + -7x) + -1(x + -2(6x + 5) + (-2 + -9x)) = 0
3x + (2 * -1 + -7x * -1) + -1(x + -2(6x + 5) + (-2 + -9x)) = 0
3x + (-2 + 7x) + -1(x + -2(6x + 5) + (-2 + -9x)) = 0

Reorder the terms:
3x + -2 + 7x + -1(x + -2(5 + 6x) + (-2 + -9x)) = 0
3x + -2 + 7x + -1(x + (5 * -2 + 6x * -2) + (-2 + -9x)) = 0
3x + -2 + 7x + -1(x + (-10 + -12x) + (-2 + -9x)) = 0

Remove parenthesis around (-2 + -9x)
3x + -2 + 7x + -1(x + -10 + -12x + -2 + -9x) = 0

Reorder the terms:
3x + -2 + 7x + -1(-10 + -2 + x + -12x + -9x) = 0

Combine like terms: -10 + -2 = -12
3x + -2 + 7x + -1(-12 + x + -12x + -9x) = 0

Combine like terms: x + -12x = -11x
3x + -2 + 7x + -1(-12 + -11x + -9x) = 0

Combine like terms: -11x + -9x = -20x
3x + -2 + 7x + -1(-12 + -20x) = 0
3x + -2 + 7x + (-12 * -1 + -20x * -1) = 0
3x + -2 + 7x + (12 + 20x) = 0

Reorder the terms:
-2 + 12 + 3x + 7x + 20x = 0

Combine like terms: -2 + 12 = 10
10 + 3x + 7x + 20x = 0

Combine like terms: 3x + 7x = 10x
10 + 10x + 20x = 0

Combine like terms: 10x + 20x = 30x
10 + 30x = 0

Solving
10 + 30x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 30x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 30x = 0 + -10
30x = 0 + -10

Combine like terms: 0 + -10 = -10
30x = -10

Divide each side by '30'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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