(X-1)-(3x-4)=2(x-1)

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Solution for (X-1)-(3x-4)=2(x-1) equation:


Simplifying
(X + -1) + -1(3x + -4) = 2(x + -1)

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

Remove parenthesis around (-1 + X)
-1 + X + -1(3x + -4) = 2(x + -1)

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

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

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

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

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

Solving for variable 'X'.

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

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

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

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

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

Add '3x' to each side of the equation.
X + -3x + 3x = -5 + 2x + 3x

Combine like terms: -3x + 3x = 0
X + 0 = -5 + 2x + 3x
X = -5 + 2x + 3x

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

Simplifying
X = -5 + 5x

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