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

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


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

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

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

Combine like terms: 3x + -2x = 1x
2 + 1x = x + -2(x + -1)

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

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

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

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

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

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

Solving
1x = -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.
1x + x = -1x + x

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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