-3(4x-2)+((-x-2)-2(-3x-8))-(9x+8)=-5((-9x-2)+4x)

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Solution for -3(4x-2)+((-x-2)-2(-3x-8))-(9x+8)=-5((-9x-2)+4x) equation:


Simplifying
-3(4x + -2) + ((-1x + -2) + -2(-3x + -8)) + -1(9x + 8) = -5((-9x + -2) + 4x)

Reorder the terms:
-3(-2 + 4x) + ((-1x + -2) + -2(-3x + -8)) + -1(9x + 8) = -5((-9x + -2) + 4x)
(-2 * -3 + 4x * -3) + ((-1x + -2) + -2(-3x + -8)) + -1(9x + 8) = -5((-9x + -2) + 4x)
(6 + -12x) + ((-1x + -2) + -2(-3x + -8)) + -1(9x + 8) = -5((-9x + -2) + 4x)

Reorder the terms:
6 + -12x + ((-2 + -1x) + -2(-3x + -8)) + -1(9x + 8) = -5((-9x + -2) + 4x)

Remove parenthesis around (-2 + -1x)
6 + -12x + (-2 + -1x + -2(-3x + -8)) + -1(9x + 8) = -5((-9x + -2) + 4x)

Reorder the terms:
6 + -12x + (-2 + -1x + -2(-8 + -3x)) + -1(9x + 8) = -5((-9x + -2) + 4x)
6 + -12x + (-2 + -1x + (-8 * -2 + -3x * -2)) + -1(9x + 8) = -5((-9x + -2) + 4x)
6 + -12x + (-2 + -1x + (16 + 6x)) + -1(9x + 8) = -5((-9x + -2) + 4x)

Reorder the terms:
6 + -12x + (-2 + 16 + -1x + 6x) + -1(9x + 8) = -5((-9x + -2) + 4x)

Combine like terms: -2 + 16 = 14
6 + -12x + (14 + -1x + 6x) + -1(9x + 8) = -5((-9x + -2) + 4x)

Combine like terms: -1x + 6x = 5x
6 + -12x + (14 + 5x) + -1(9x + 8) = -5((-9x + -2) + 4x)

Remove parenthesis around (14 + 5x)
6 + -12x + 14 + 5x + -1(9x + 8) = -5((-9x + -2) + 4x)

Reorder the terms:
6 + -12x + 14 + 5x + -1(8 + 9x) = -5((-9x + -2) + 4x)
6 + -12x + 14 + 5x + (8 * -1 + 9x * -1) = -5((-9x + -2) + 4x)
6 + -12x + 14 + 5x + (-8 + -9x) = -5((-9x + -2) + 4x)

Reorder the terms:
6 + 14 + -8 + -12x + 5x + -9x = -5((-9x + -2) + 4x)

Combine like terms: 6 + 14 = 20
20 + -8 + -12x + 5x + -9x = -5((-9x + -2) + 4x)

Combine like terms: 20 + -8 = 12
12 + -12x + 5x + -9x = -5((-9x + -2) + 4x)

Combine like terms: -12x + 5x = -7x
12 + -7x + -9x = -5((-9x + -2) + 4x)

Combine like terms: -7x + -9x = -16x
12 + -16x = -5((-9x + -2) + 4x)

Reorder the terms:
12 + -16x = -5((-2 + -9x) + 4x)

Remove parenthesis around (-2 + -9x)
12 + -16x = -5(-2 + -9x + 4x)

Combine like terms: -9x + 4x = -5x
12 + -16x = -5(-2 + -5x)
12 + -16x = (-2 * -5 + -5x * -5)
12 + -16x = (10 + 25x)

Solving
12 + -16x = 10 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
12 + -16x + -25x = 10 + 25x + -25x

Combine like terms: -16x + -25x = -41x
12 + -41x = 10 + 25x + -25x

Combine like terms: 25x + -25x = 0
12 + -41x = 10 + 0
12 + -41x = 10

Add '-12' to each side of the equation.
12 + -12 + -41x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -41x = 10 + -12
-41x = 10 + -12

Combine like terms: 10 + -12 = -2
-41x = -2

Divide each side by '-41'.
x = 0.0487804878

Simplifying
x = 0.0487804878

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