2x-2(x-1)=4(x-2)+8

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Solution for 2x-2(x-1)=4(x-2)+8 equation: 


Simplifying
2x + -2(x + -1) = 4(x + -2) + 8

Reorder the terms:
2x + -2(-1 + x) = 4(x + -2) + 8
2x + (-1 * -2 + x * -2) = 4(x + -2) + 8
2x + (2 + -2x) = 4(x + -2) + 8

Reorder the terms:
2 + 2x + -2x = 4(x + -2) + 8

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

Reorder the terms:
2 = 4(-2 + x) + 8
2 = (-2 * 4 + x * 4) + 8
2 = (-8 + 4x) + 8

Reorder the terms:
2 = -8 + 8 + 4x

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

Solving
2 = 4x

Solving for variable 'x'.

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -4x = 0 + -2

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

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

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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