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

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


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

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

Reorder the terms:
3x + -2x2 = 6 + 6x + -2x2

Add '2x2' to each side of the equation.
3x + -2x2 + 2x2 = 6 + 6x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
3x + 0 = 6 + 6x + -2x2 + 2x2
3x = 6 + 6x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
3x = 6 + 6x + 0
3x = 6 + 6x

Solving
3x = 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.
3x + -6x = 6 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-3x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3x = 6 + 0
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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