x-(5x-1)=3x+(-x+2)

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Solution for x-(5x-1)=3x+(-x+2) equation:


Simplifying
x + -1(5x + -1) = 3x + (-1x + 2)

Reorder the terms:
x + -1(-1 + 5x) = 3x + (-1x + 2)
x + (-1 * -1 + 5x * -1) = 3x + (-1x + 2)
x + (1 + -5x) = 3x + (-1x + 2)

Reorder the terms:
1 + x + -5x = 3x + (-1x + 2)

Combine like terms: x + -5x = -4x
1 + -4x = 3x + (-1x + 2)

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

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

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

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

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

Combine like terms: -4x + -2x = -6x
1 + -6x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -6x = 2 + 0
1 + -6x = 2

Add '-1' to each side of the equation.
1 + -1 + -6x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 2 + -1
-6x = 2 + -1

Combine like terms: 2 + -1 = 1
-6x = 1

Divide each side by '-6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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