26-(32x-1(1-x+2(18x-3)+6x))=12x-4

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Solution for 26-(32x-1(1-x+2(18x-3)+6x))=12x-4 equation: 


Simplifying
26 + -1(32x + -1(1 + -1x + 2(18x + -3) + 6x)) = 12x + -4

Reorder the terms:
26 + -1(32x + -1(1 + -1x + 2(-3 + 18x) + 6x)) = 12x + -4
26 + -1(32x + -1(1 + -1x + (-3 * 2 + 18x * 2) + 6x)) = 12x + -4
26 + -1(32x + -1(1 + -1x + (-6 + 36x) + 6x)) = 12x + -4

Reorder the terms:
26 + -1(32x + -1(1 + -6 + -1x + 36x + 6x)) = 12x + -4

Combine like terms: 1 + -6 = -5
26 + -1(32x + -1(-5 + -1x + 36x + 6x)) = 12x + -4

Combine like terms: -1x + 36x = 35x
26 + -1(32x + -1(-5 + 35x + 6x)) = 12x + -4

Combine like terms: 35x + 6x = 41x
26 + -1(32x + -1(-5 + 41x)) = 12x + -4
26 + -1(32x + (-5 * -1 + 41x * -1)) = 12x + -4
26 + -1(32x + (5 + -41x)) = 12x + -4

Reorder the terms:
26 + -1(5 + 32x + -41x) = 12x + -4

Combine like terms: 32x + -41x = -9x
26 + -1(5 + -9x) = 12x + -4
26 + (5 * -1 + -9x * -1) = 12x + -4
26 + (-5 + 9x) = 12x + -4

Combine like terms: 26 + -5 = 21
21 + 9x = 12x + -4

Reorder the terms:
21 + 9x = -4 + 12x

Solving
21 + 9x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
21 + 9x + -12x = -4 + 12x + -12x

Combine like terms: 9x + -12x = -3x
21 + -3x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
21 + -3x = -4 + 0
21 + -3x = -4

Add '-21' to each side of the equation.
21 + -21 + -3x = -4 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = -4 + -21
-3x = -4 + -21

Combine like terms: -4 + -21 = -25
-3x = -25

Divide each side by '-3'.
x = 8.333333333

Simplifying
x = 8.333333333

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