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

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


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

Reorder the terms:
-2(-2 + x) = -1x + 6
(-2 * -2 + x * -2) = -1x + 6
(4 + -2x) = -1x + 6

Reorder the terms:
4 + -2x = 6 + -1x

Solving
4 + -2x = 6 + -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.
4 + -2x + x = 6 + -1x + x

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

Combine like terms: -1x + x = 0
4 + -1x = 6 + 0
4 + -1x = 6

Add '-4' to each side of the equation.
4 + -4 + -1x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 6 + -4
-1x = 6 + -4

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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