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

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


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

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

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

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

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

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

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

Solving
5 + X + -3x = 3 + x

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X + -5 + -3x = 3 + -5 + x

Reorder the terms:
5 + -5 + X + -3x = 3 + -5 + x

Combine like terms: 5 + -5 = 0
0 + X + -3x = 3 + -5 + x
X + -3x = 3 + -5 + x

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

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

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

Combine like terms: x + 3x = 4x
X = -2 + 4x

Simplifying
X = -2 + 4x

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