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

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


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

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

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

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

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

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

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

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

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

Solving
3x = 2x

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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