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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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