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

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


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

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

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

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

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

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

Add '3' to each side of the equation.
-3 + 3 + 2x = -3 + 3 + 1x

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

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

Solving
2x = 1x

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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