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

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


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

Reorder the terms:
x(-1 + 2x) + 2 = 2x(x + -2) + x
(-1 * x + 2x * x) + 2 = 2x(x + -2) + x
(-1x + 2x2) + 2 = 2x(x + -2) + x

Reorder the terms:
2 + -1x + 2x2 = 2x(x + -2) + x

Reorder the terms:
2 + -1x + 2x2 = 2x(-2 + x) + x
2 + -1x + 2x2 = (-2 * 2x + x * 2x) + x
2 + -1x + 2x2 = (-4x + 2x2) + x

Reorder the terms:
2 + -1x + 2x2 = -4x + x + 2x2

Combine like terms: -4x + x = -3x
2 + -1x + 2x2 = -3x + 2x2

Add '-2x2' to each side of the equation.
2 + -1x + 2x2 + -2x2 = -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + -1x + 0 = -3x + 2x2 + -2x2
2 + -1x = -3x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + -1x = -3x + 0
2 + -1x = -3x

Solving
2 + -1x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + -1x + 3x = -3x + 3x

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

Combine like terms: -3x + 3x = 0
2 + 2x = 0

Add '-2' to each side of the equation.
2 + -2 + 2x = 0 + -2

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

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

Divide each side by '2'.
x = -1

Simplifying
x = -1

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