2x+12-(3x-(6(x-2)-2))=3(x-2)

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Solution for 2x+12-(3x-(6(x-2)-2))=3(x-2) equation: 


Simplifying
2x + 12 + -1(3x + -1(6(x + -2) + -2)) = 3(x + -2)

Reorder the terms:
2x + 12 + -1(3x + -1(6(-2 + x) + -2)) = 3(x + -2)
2x + 12 + -1(3x + -1((-2 * 6 + x * 6) + -2)) = 3(x + -2)
2x + 12 + -1(3x + -1((-12 + 6x) + -2)) = 3(x + -2)

Reorder the terms:
2x + 12 + -1(3x + -1(-12 + -2 + 6x)) = 3(x + -2)

Combine like terms: -12 + -2 = -14
2x + 12 + -1(3x + -1(-14 + 6x)) = 3(x + -2)
2x + 12 + -1(3x + (-14 * -1 + 6x * -1)) = 3(x + -2)
2x + 12 + -1(3x + (14 + -6x)) = 3(x + -2)

Reorder the terms:
2x + 12 + -1(14 + 3x + -6x) = 3(x + -2)

Combine like terms: 3x + -6x = -3x
2x + 12 + -1(14 + -3x) = 3(x + -2)
2x + 12 + (14 * -1 + -3x * -1) = 3(x + -2)
2x + 12 + (-14 + 3x) = 3(x + -2)

Reorder the terms:
12 + -14 + 2x + 3x = 3(x + -2)

Combine like terms: 12 + -14 = -2
-2 + 2x + 3x = 3(x + -2)

Combine like terms: 2x + 3x = 5x
-2 + 5x = 3(x + -2)

Reorder the terms:
-2 + 5x = 3(-2 + x)
-2 + 5x = (-2 * 3 + x * 3)
-2 + 5x = (-6 + 3x)

Solving
-2 + 5x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 5x + -3x = -6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-2 + 2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 2x = -6 + 0
-2 + 2x = -6

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

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

Combine like terms: -6 + 2 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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