2x-(5x-4)=(-x+1)

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Solution for 2x-(5x-4)=(-x+1) equation:


Simplifying
2x + -1(5x + -4) = (-1x + 1)

Reorder the terms:
2x + -1(-4 + 5x) = (-1x + 1)
2x + (-4 * -1 + 5x * -1) = (-1x + 1)
2x + (4 + -5x) = (-1x + 1)

Reorder the terms:
4 + 2x + -5x = (-1x + 1)

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

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

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

Solving
4 + -3x = 1 + -1x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = 1.5

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