(X+3)-(1-3x)=2+2x

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Solution for (X+3)-(1-3x)=2+2x equation: 


Simplifying
(X + 3) + -1(1 + -3x) = 2 + 2x

Reorder the terms:
(3 + X) + -1(1 + -3x) = 2 + 2x

Remove parenthesis around (3 + X)
3 + X + -1(1 + -3x) = 2 + 2x
3 + X + (1 * -1 + -3x * -1) = 2 + 2x
3 + X + (-1 + 3x) = 2 + 2x

Reorder the terms:
3 + -1 + X + 3x = 2 + 2x

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

Add '-2' to each side of the equation.
2 + X + -2 + 3x = 2 + -2 + 2x

Reorder the terms:
2 + -2 + X + 3x = 2 + -2 + 2x

Combine like terms: 2 + -2 = 0
0 + X + 3x = 2 + -2 + 2x
X + 3x = 2 + -2 + 2x

Combine like terms: 2 + -2 = 0
X + 3x = 0 + 2x
X + 3x = 2x

Solving
X + 3x = 2x

Solving for variable 'X'.

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

Add '-3x' to each side of the equation.
X + 3x + -3x = 2x + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 2x + -3x
X = 2x + -3x

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

Simplifying
X = -1x

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