2x=3(1-x)-(x-1)

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Solution for 2x=3(1-x)-(x-1) equation:


Simplifying
2x = 3(1 + -1x) + -1(x + -1)
2x = (1 * 3 + -1x * 3) + -1(x + -1)
2x = (3 + -3x) + -1(x + -1)

Reorder the terms:
2x = 3 + -3x + -1(-1 + x)
2x = 3 + -3x + (-1 * -1 + x * -1)
2x = 3 + -3x + (1 + -1x)

Reorder the terms:
2x = 3 + 1 + -3x + -1x

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

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

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

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

Combine like terms: -4x + 4x = 0
6x = 4 + 0
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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