2x-6(x-1)=-x

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Solution for 2x-6(x-1)=-x equation:


Simplifying
2x + -6(x + -1) = -1x

Reorder the terms:
2x + -6(-1 + x) = -1x
2x + (-1 * -6 + x * -6) = -1x
2x + (6 + -6x) = -1x

Reorder the terms:
6 + 2x + -6x = -1x

Combine like terms: 2x + -6x = -4x
6 + -4x = -1x

Solving
6 + -4x = -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.
6 + -4x + x = -1x + x

Combine like terms: -4x + x = -3x
6 + -3x = -1x + x

Combine like terms: -1x + x = 0
6 + -3x = 0

Add '-6' to each side of the equation.
6 + -6 + -3x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 0 + -6
-3x = 0 + -6

Combine like terms: 0 + -6 = -6
-3x = -6

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

Simplifying
x = 2

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