2(3x-6+3x)=2x+2-4x

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Solution for 2(3x-6+3x)=2x+2-4x equation:


Simplifying
2(3x + -6 + 3x) = 2x + 2 + -4x

Reorder the terms:
2(-6 + 3x + 3x) = 2x + 2 + -4x

Combine like terms: 3x + 3x = 6x
2(-6 + 6x) = 2x + 2 + -4x
(-6 * 2 + 6x * 2) = 2x + 2 + -4x
(-12 + 12x) = 2x + 2 + -4x

Reorder the terms:
-12 + 12x = 2 + 2x + -4x

Combine like terms: 2x + -4x = -2x
-12 + 12x = 2 + -2x

Solving
-12 + 12x = 2 + -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.
-12 + 12x + 2x = 2 + -2x + 2x

Combine like terms: 12x + 2x = 14x
-12 + 14x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 14x = 2 + 0
-12 + 14x = 2

Add '12' to each side of the equation.
-12 + 12 + 14x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 14x = 2 + 12
14x = 2 + 12

Combine like terms: 2 + 12 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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