2(x-1)=4x+2-2(2x-6)

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Solution for 2(x-1)=4x+2-2(2x-6) equation:


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

Reorder the terms:
2(-1 + x) = 4x + 2 + -2(2x + -6)
(-1 * 2 + x * 2) = 4x + 2 + -2(2x + -6)
(-2 + 2x) = 4x + 2 + -2(2x + -6)

Reorder the terms:
-2 + 2x = 4x + 2 + -2(-6 + 2x)
-2 + 2x = 4x + 2 + (-6 * -2 + 2x * -2)
-2 + 2x = 4x + 2 + (12 + -4x)

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

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

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

Solving
-2 + 2x = 14

Solving for variable 'x'.

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

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

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

Combine like terms: 14 + 2 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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