X+(12-3x)=3-(5-x)

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Solution for X+(12-3x)=3-(5-x) equation: 


Simplifying
X + (12 + -3x) = 3 + -1(5 + -1x)

Remove parenthesis around (12 + -3x)
X + 12 + -3x = 3 + -1(5 + -1x)

Reorder the terms:
12 + X + -3x = 3 + -1(5 + -1x)
12 + X + -3x = 3 + (5 * -1 + -1x * -1)
12 + X + -3x = 3 + (-5 + 1x)

Combine like terms: 3 + -5 = -2
12 + X + -3x = -2 + 1x

Solving
12 + X + -3x = -2 + 1x

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + X + -12 + -3x = -2 + -12 + 1x

Reorder the terms:
12 + -12 + X + -3x = -2 + -12 + 1x

Combine like terms: 12 + -12 = 0
0 + X + -3x = -2 + -12 + 1x
X + -3x = -2 + -12 + 1x

Combine like terms: -2 + -12 = -14
X + -3x = -14 + 1x

Add '3x' to each side of the equation.
X + -3x + 3x = -14 + 1x + 3x

Combine like terms: -3x + 3x = 0
X + 0 = -14 + 1x + 3x
X = -14 + 1x + 3x

Combine like terms: 1x + 3x = 4x
X = -14 + 4x

Simplifying
X = -14 + 4x

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