(x-2)+(2x+4)=x

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Solution for (x-2)+(2x+4)=x equation:


Simplifying
(x + -2) + (2x + 4) = x

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

Remove parenthesis around (-2 + x)
-2 + x + (2x + 4) = x

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

Remove parenthesis around (4 + 2x)
-2 + x + 4 + 2x = x

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

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

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

Solving
2 + 3x = 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.
2 + 3x + -1x = x + -1x

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

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

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

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

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

Divide each side by '2'.
x = -1

Simplifying
x = -1

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