(X-2)-3x(2-x)=4x(x-3)+10

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Solution for (X-2)-3x(2-x)=4x(x-3)+10 equation: 


Simplifying
(X + -2) + -3x(2 + -1x) = 4x(x + -3) + 10

Reorder the terms:
(-2 + X) + -3x(2 + -1x) = 4x(x + -3) + 10

Remove parenthesis around (-2 + X)
-2 + X + -3x(2 + -1x) = 4x(x + -3) + 10
-2 + X + (2 * -3x + -1x * -3x) = 4x(x + -3) + 10
-2 + X + (-6x + 3x2) = 4x(x + -3) + 10

Reorder the terms:
-2 + X + -6x + 3x2 = 4x(-3 + x) + 10
-2 + X + -6x + 3x2 = (-3 * 4x + x * 4x) + 10
-2 + X + -6x + 3x2 = (-12x + 4x2) + 10

Reorder the terms:
-2 + X + -6x + 3x2 = 10 + -12x + 4x2

Solving
-2 + X + -6x + 3x2 = 10 + -12x + 4x2

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X + -6x + 2 + 3x2 = 10 + -12x + 2 + 4x2

Reorder the terms:
-2 + 2 + X + -6x + 3x2 = 10 + -12x + 2 + 4x2

Combine like terms: -2 + 2 = 0
0 + X + -6x + 3x2 = 10 + -12x + 2 + 4x2
X + -6x + 3x2 = 10 + -12x + 2 + 4x2

Reorder the terms:
X + -6x + 3x2 = 10 + 2 + -12x + 4x2

Combine like terms: 10 + 2 = 12
X + -6x + 3x2 = 12 + -12x + 4x2

Add '6x' to each side of the equation.
X + -6x + 6x + 3x2 = 12 + -12x + 6x + 4x2

Combine like terms: -6x + 6x = 0
X + 0 + 3x2 = 12 + -12x + 6x + 4x2
X + 3x2 = 12 + -12x + 6x + 4x2

Combine like terms: -12x + 6x = -6x
X + 3x2 = 12 + -6x + 4x2

Add '-3x2' to each side of the equation.
X + 3x2 + -3x2 = 12 + -6x + 4x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
X + 0 = 12 + -6x + 4x2 + -3x2
X = 12 + -6x + 4x2 + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
X = 12 + -6x + 1x2

Simplifying
X = 12 + -6x + 1x2

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