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

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


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

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

Combine like terms: X + 3X = 4X
-1 + 4X = 2 + -1(-1X + -3)

Reorder the terms:
-1 + 4X = 2 + -1(-3 + -1X)
-1 + 4X = 2 + (-3 * -1 + -1X * -1)
-1 + 4X = 2 + (3 + 1X)

Combine like terms: 2 + 3 = 5
-1 + 4X = 5 + 1X

Solving
-1 + 4X = 5 + 1X

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.
-1 + 4X + -1X = 5 + 1X + -1X

Combine like terms: 4X + -1X = 3X
-1 + 3X = 5 + 1X + -1X

Combine like terms: 1X + -1X = 0
-1 + 3X = 5 + 0
-1 + 3X = 5

Add '1' to each side of the equation.
-1 + 1 + 3X = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 3X = 5 + 1
3X = 5 + 1

Combine like terms: 5 + 1 = 6
3X = 6

Divide each side by '3'.
X = 2

Simplifying
X = 2

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