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

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


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

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

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

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

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

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

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

Solving
4 + -2x = -2

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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