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

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


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

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

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

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

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

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

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

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

Combine like terms: x + 4x = 5x
2 + X + 2x = 5x

Solving
2 + X + 2x = 5x

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 + X + -2 + 2x = -2 + 5x

Reorder the terms:
2 + -2 + X + 2x = -2 + 5x

Combine like terms: 2 + -2 = 0
0 + X + 2x = -2 + 5x
X + 2x = -2 + 5x

Add '-2x' to each side of the equation.
X + 2x + -2x = -2 + 5x + -2x

Combine like terms: 2x + -2x = 0
X + 0 = -2 + 5x + -2x
X = -2 + 5x + -2x

Combine like terms: 5x + -2x = 3x
X = -2 + 3x

Simplifying
X = -2 + 3x

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