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

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


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

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

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

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

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

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

Solving
2 + 2x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 2x + x = 4 + -1x + x

Combine like terms: 2x + x = 3x
2 + 3x = 4 + -1x + x

Combine like terms: -1x + x = 0
2 + 3x = 4 + 0
2 + 3x = 4

Add '-2' to each side of the equation.
2 + -2 + 3x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 4 + -2
3x = 4 + -2

Combine like terms: 4 + -2 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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