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

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Solution for 4+2[8-(6+x)]=-2(x-1)-4+x equation: 


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

Combine like terms: 8 + -6 = 2
4 + 2[2 + -1x] = -2(x + -1) + -4 + x
4 + [2 * 2 + -1x * 2] = -2(x + -1) + -4 + x
4 + [4 + -2x] = -2(x + -1) + -4 + x

Combine like terms: 4 + 4 = 8
8 + -2x = -2(x + -1) + -4 + x

Reorder the terms:
8 + -2x = -2(-1 + x) + -4 + x
8 + -2x = (-1 * -2 + x * -2) + -4 + x
8 + -2x = (2 + -2x) + -4 + x

Reorder the terms:
8 + -2x = 2 + -4 + -2x + x

Combine like terms: 2 + -4 = -2
8 + -2x = -2 + -2x + x

Combine like terms: -2x + x = -1x
8 + -2x = -2 + -1x

Solving
8 + -2x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + -2x + x = -2 + -1x + x

Combine like terms: -2x + x = -1x
8 + -1x = -2 + -1x + x

Combine like terms: -1x + x = 0
8 + -1x = -2 + 0
8 + -1x = -2

Add '-8' to each side of the equation.
8 + -8 + -1x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -2 + -8
-1x = -2 + -8

Combine like terms: -2 + -8 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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