2[x-(4x+2)+3]=2x+2

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Solution for 2[x-(4x+2)+3]=2x+2 equation: 


Simplifying
2[x + -1(4x + 2) + 3] = 2x + 2

Reorder the terms:
2[x + -1(2 + 4x) + 3] = 2x + 2
2[x + (2 * -1 + 4x * -1) + 3] = 2x + 2
2[x + (-2 + -4x) + 3] = 2x + 2

Reorder the terms:
2[-2 + 3 + x + -4x] = 2x + 2

Combine like terms: -2 + 3 = 1
2[1 + x + -4x] = 2x + 2

Combine like terms: x + -4x = -3x
2[1 + -3x] = 2x + 2
[1 * 2 + -3x * 2] = 2x + 2
[2 + -6x] = 2x + 2

Reorder the terms:
2 + -6x = 2 + 2x

Add '-2' to each side of the equation.
2 + -2 + -6x = 2 + -2 + 2x

Combine like terms: 2 + -2 = 0
0 + -6x = 2 + -2 + 2x
-6x = 2 + -2 + 2x

Combine like terms: 2 + -2 = 0
-6x = 0 + 2x
-6x = 2x

Solving
-6x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6x + -2x = 2x + -2x

Combine like terms: -6x + -2x = -8x
-8x = 2x + -2x

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

Divide each side by '-8'.
x = 0

Simplifying
x = 0

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