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

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


Simplifying
2(6 + x) + 2 = 2(4x + -1x) + 2
(6 * 2 + x * 2) + 2 = 2(4x + -1x) + 2
(12 + 2x) + 2 = 2(4x + -1x) + 2

Reorder the terms:
12 + 2 + 2x = 2(4x + -1x) + 2

Combine like terms: 12 + 2 = 14
14 + 2x = 2(4x + -1x) + 2

Combine like terms: 4x + -1x = 3x
14 + 2x = 2(3x) + 2

Remove parenthesis around (3x)
14 + 2x = 2 * 3x + 2

Multiply 2 * 3
14 + 2x = 6x + 2

Reorder the terms:
14 + 2x = 2 + 6x

Solving
14 + 2x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 2x + -6x = 2 + 6x + -6x

Combine like terms: 2x + -6x = -4x
14 + -4x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -4x = 2 + 0
14 + -4x = 2

Add '-14' to each side of the equation.
14 + -14 + -4x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = 2 + -14
-4x = 2 + -14

Combine like terms: 2 + -14 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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