10x-(6x-2(3x-4(1-x))-(9x-8))=27

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Solution for 10x-(6x-2(3x-4(1-x))-(9x-8))=27 equation:


Simplifying
10x + -1(6x + -2(3x + -4(1 + -1x)) + -1(9x + -8)) = 27
10x + -1(6x + -2(3x + (1 * -4 + -1x * -4)) + -1(9x + -8)) = 27
10x + -1(6x + -2(3x + (-4 + 4x)) + -1(9x + -8)) = 27

Reorder the terms:
10x + -1(6x + -2(-4 + 3x + 4x) + -1(9x + -8)) = 27

Combine like terms: 3x + 4x = 7x
10x + -1(6x + -2(-4 + 7x) + -1(9x + -8)) = 27
10x + -1(6x + (-4 * -2 + 7x * -2) + -1(9x + -8)) = 27
10x + -1(6x + (8 + -14x) + -1(9x + -8)) = 27

Reorder the terms:
10x + -1(6x + 8 + -14x + -1(-8 + 9x)) = 27
10x + -1(6x + 8 + -14x + (-8 * -1 + 9x * -1)) = 27
10x + -1(6x + 8 + -14x + (8 + -9x)) = 27

Reorder the terms:
10x + -1(8 + 8 + 6x + -14x + -9x) = 27

Combine like terms: 8 + 8 = 16
10x + -1(16 + 6x + -14x + -9x) = 27

Combine like terms: 6x + -14x = -8x
10x + -1(16 + -8x + -9x) = 27

Combine like terms: -8x + -9x = -17x
10x + -1(16 + -17x) = 27
10x + (16 * -1 + -17x * -1) = 27
10x + (-16 + 17x) = 27

Reorder the terms:
-16 + 10x + 17x = 27

Combine like terms: 10x + 17x = 27x
-16 + 27x = 27

Solving
-16 + 27x = 27

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 27x = 27 + 16

Combine like terms: -16 + 16 = 0
0 + 27x = 27 + 16
27x = 27 + 16

Combine like terms: 27 + 16 = 43
27x = 43

Divide each side by '27'.
x = 1.592592593

Simplifying
x = 1.592592593

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