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

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


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

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

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

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

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

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

Solving
-2 + X + 4x = 1 + -1x

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X + 2 + 4x = 1 + 2 + -1x

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

Combine like terms: -2 + 2 = 0
0 + X + 4x = 1 + 2 + -1x
X + 4x = 1 + 2 + -1x

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

Add '-4x' to each side of the equation.
X + 4x + -4x = 3 + -1x + -4x

Combine like terms: 4x + -4x = 0
X + 0 = 3 + -1x + -4x
X = 3 + -1x + -4x

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

Simplifying
X = 3 + -5x

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