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

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


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

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

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

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

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

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

Solving
-2 + x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

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

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

Simplifying
x = 2

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