2(x-2)-10=2-2x

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Solution for 2(x-2)-10=2-2x equation:


Simplifying
2(x + -2) + -10 = 2 + -2x

Reorder the terms:
2(-2 + x) + -10 = 2 + -2x
(-2 * 2 + x * 2) + -10 = 2 + -2x
(-4 + 2x) + -10 = 2 + -2x

Reorder the terms:
-4 + -10 + 2x = 2 + -2x

Combine like terms: -4 + -10 = -14
-14 + 2x = 2 + -2x

Solving
-14 + 2x = 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.
-14 + 2x + 2x = 2 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-14 + 4x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 4x = 2 + 0
-14 + 4x = 2

Add '14' to each side of the equation.
-14 + 14 + 4x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 2 + 14
4x = 2 + 14

Combine like terms: 2 + 14 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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