2x^2+x=2x^2-x+2

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Solution for 2x^2+x=2x^2-x+2 equation:


Simplifying
2x2 + x = 2x2 + -1x + 2

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

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

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

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

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

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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