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

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


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

Reorder the terms:
-6(-2 + x) = -1(-1x + 2)
(-2 * -6 + x * -6) = -1(-1x + 2)
(12 + -6x) = -1(-1x + 2)

Reorder the terms:
12 + -6x = -1(2 + -1x)
12 + -6x = (2 * -1 + -1x * -1)
12 + -6x = (-2 + 1x)

Solving
12 + -6x = -2 + 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.
12 + -6x + -1x = -2 + 1x + -1x

Combine like terms: -6x + -1x = -7x
12 + -7x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
12 + -7x = -2 + 0
12 + -7x = -2

Add '-12' to each side of the equation.
12 + -12 + -7x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -2 + -12
-7x = -2 + -12

Combine like terms: -2 + -12 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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