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

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


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

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

Remove parenthesis around (-2 + x)
-2 + x = 2x + -1(6 + -1x)
-2 + x = 2x + (6 * -1 + -1x * -1)
-2 + x = 2x + (-6 + 1x)

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

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

Solving
-2 + x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + x + -3x = -6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-2 + -2x = -6 + 0
-2 + -2x = -6

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

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

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

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

Simplifying
x = 2

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