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

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


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

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

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

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

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

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

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

Solving
2 + 2x = -1 + 4x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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