2-(2x-6)=2(x+7)-2

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Solution for 2-(2x-6)=2(x+7)-2 equation: 


Simplifying
2 + -1(2x + -6) = 2(x + 7) + -2

Reorder the terms:
2 + -1(-6 + 2x) = 2(x + 7) + -2
2 + (-6 * -1 + 2x * -1) = 2(x + 7) + -2
2 + (6 + -2x) = 2(x + 7) + -2

Combine like terms: 2 + 6 = 8
8 + -2x = 2(x + 7) + -2

Reorder the terms:
8 + -2x = 2(7 + x) + -2
8 + -2x = (7 * 2 + x * 2) + -2
8 + -2x = (14 + 2x) + -2

Reorder the terms:
8 + -2x = 14 + -2 + 2x

Combine like terms: 14 + -2 = 12
8 + -2x = 12 + 2x

Solving
8 + -2x = 12 + 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.
8 + -2x + -2x = 12 + 2x + -2x

Combine like terms: -2x + -2x = -4x
8 + -4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -4x = 12 + 0
8 + -4x = 12

Add '-8' to each side of the equation.
8 + -8 + -4x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 12 + -8
-4x = 12 + -8

Combine like terms: 12 + -8 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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