4x-8=2x-6-[-2x+(-14x+4)-2]+12-x

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Solution for 4x-8=2x-6-[-2x+(-14x+4)-2]+12-x equation:


Simplifying
4x + -8 = 2x + -6 + -1[-2x + (-14x + 4) + -2] + 12 + -1x

Reorder the terms:
-8 + 4x = 2x + -6 + -1[-2x + (-14x + 4) + -2] + 12 + -1x

Reorder the terms:
-8 + 4x = 2x + -6 + -1[-2x + (4 + -14x) + -2] + 12 + -1x

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

Reorder the terms:
-8 + 4x = 2x + -6 + -1[4 + -2 + -2x + -14x] + 12 + -1x

Combine like terms: 4 + -2 = 2
-8 + 4x = 2x + -6 + -1[2 + -2x + -14x] + 12 + -1x

Combine like terms: -2x + -14x = -16x
-8 + 4x = 2x + -6 + -1[2 + -16x] + 12 + -1x
-8 + 4x = 2x + -6 + [2 * -1 + -16x * -1] + 12 + -1x
-8 + 4x = 2x + -6 + [-2 + 16x] + 12 + -1x

Reorder the terms:
-8 + 4x = -6 + -2 + 12 + 2x + 16x + -1x

Combine like terms: -6 + -2 = -8
-8 + 4x = -8 + 12 + 2x + 16x + -1x

Combine like terms: -8 + 12 = 4
-8 + 4x = 4 + 2x + 16x + -1x

Combine like terms: 2x + 16x = 18x
-8 + 4x = 4 + 18x + -1x

Combine like terms: 18x + -1x = 17x
-8 + 4x = 4 + 17x

Solving
-8 + 4x = 4 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-8 + 4x + -17x = 4 + 17x + -17x

Combine like terms: 4x + -17x = -13x
-8 + -13x = 4 + 17x + -17x

Combine like terms: 17x + -17x = 0
-8 + -13x = 4 + 0
-8 + -13x = 4

Add '8' to each side of the equation.
-8 + 8 + -13x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -13x = 4 + 8
-13x = 4 + 8

Combine like terms: 4 + 8 = 12
-13x = 12

Divide each side by '-13'.
x = -0.9230769231

Simplifying
x = -0.9230769231

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