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

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


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

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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

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

Simplifying
X = 2 + 2x

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