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

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


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

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

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

Solving
-4 + 2x = -2 + x

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

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

Combine like terms: x + -1x = 0
-4 + 1x = -2 + 0
-4 + 1x = -2

Add '4' to each side of the equation.
-4 + 4 + 1x = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -2 + 4
1x = -2 + 4

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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