-3(x-2)=-x

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


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

Reorder the terms:
-3(-2 + x) = -1x
(-2 * -3 + x * -3) = -1x
(6 + -3x) = -1x

Solving
6 + -3x = -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 + -3x + x = -1x + x

Combine like terms: -3x + x = -2x
6 + -2x = -1x + x

Combine like terms: -1x + x = 0
6 + -2x = 0

Add '-6' to each side of the equation.
6 + -6 + -2x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 0 + -6
-2x = 0 + -6

Combine like terms: 0 + -6 = -6
-2x = -6

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

Simplifying
x = 3

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