2-4(x+1)=2(x-1)-12

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Solution for 2-4(x+1)=2(x-1)-12 equation: 


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

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

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

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

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

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

Solving
-2 + -4x = -14 + 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.
-2 + -4x + -2x = -14 + 2x + -2x

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

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

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

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

Combine like terms: -14 + 2 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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