2x^2+x-1=2x^2-3x+1

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Solution for 2x^2+x-1=2x^2-3x+1 equation:


Simplifying
2x2 + x + -1 = 2x2 + -3x + 1

Reorder the terms:
-1 + x + 2x2 = 2x2 + -3x + 1

Reorder the terms:
-1 + x + 2x2 = 1 + -3x + 2x2

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

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

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

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

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

Combine like terms: -3x + 3x = 0
-1 + 4x = 1 + 0
-1 + 4x = 1

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

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

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

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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