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

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


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

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

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

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

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

Solving
2 + 3x = -1 + 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.
2 + 3x + -2x = -1 + 2x + -2x

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

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

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

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

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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