2x^2-x=6-2x(3-x)

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Solution for 2x^2-x=6-2x(3-x) equation:


Simplifying
2x2 + -1x = 6 + -2x(3 + -1x)

Reorder the terms:
-1x + 2x2 = 6 + -2x(3 + -1x)
-1x + 2x2 = 6 + (3 * -2x + -1x * -2x)
-1x + 2x2 = 6 + (-6x + 2x2)

Add '-2x2' to each side of the equation.
-1x + 2x2 + -2x2 = 6 + -6x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1x + 0 = 6 + -6x + 2x2 + -2x2
-1x = 6 + -6x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1x = 6 + -6x + 0
-1x = 6 + -6x

Solving
-1x = 6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-1x + 6x = 6 + -6x + 6x

Combine like terms: -1x + 6x = 5x
5x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
5x = 6 + 0
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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