-2(x-3)=2x-6

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Solution for -2(x-3)=2x-6 equation:


Simplifying
-2(x + -3) = 2x + -6

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

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

Solving
6 + -2x = -6 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
6 + -4x = -6 + 0
6 + -4x = -6

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

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

Combine like terms: -6 + -6 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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