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

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


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

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

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

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

Solving
2 + 3x = -2 + 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 + 3x + -4x = -2 + 4x + -4x

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

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

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

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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