2(3x+3)-4(5x-3)=x(c-3)-x(x+5)

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Solution for 2(3x+3)-4(5x-3)=x(c-3)-x(x+5) equation: 


Simplifying
2(3x + 3) + -4(5x + -3) = x(c + -3) + -1x(x + 5)

Reorder the terms:
2(3 + 3x) + -4(5x + -3) = x(c + -3) + -1x(x + 5)
(3 * 2 + 3x * 2) + -4(5x + -3) = x(c + -3) + -1x(x + 5)
(6 + 6x) + -4(5x + -3) = x(c + -3) + -1x(x + 5)

Reorder the terms:
6 + 6x + -4(-3 + 5x) = x(c + -3) + -1x(x + 5)
6 + 6x + (-3 * -4 + 5x * -4) = x(c + -3) + -1x(x + 5)
6 + 6x + (12 + -20x) = x(c + -3) + -1x(x + 5)

Reorder the terms:
6 + 12 + 6x + -20x = x(c + -3) + -1x(x + 5)

Combine like terms: 6 + 12 = 18
18 + 6x + -20x = x(c + -3) + -1x(x + 5)

Combine like terms: 6x + -20x = -14x
18 + -14x = x(c + -3) + -1x(x + 5)

Reorder the terms:
18 + -14x = x(-3 + c) + -1x(x + 5)
18 + -14x = (-3 * x + c * x) + -1x(x + 5)

Reorder the terms:
18 + -14x = (cx + -3x) + -1x(x + 5)
18 + -14x = (cx + -3x) + -1x(x + 5)

Reorder the terms:
18 + -14x = cx + -3x + -1x(5 + x)
18 + -14x = cx + -3x + (5 * -1x + x * -1x)
18 + -14x = cx + -3x + (-5x + -1x2)

Combine like terms: -3x + -5x = -8x
18 + -14x = cx + -8x + -1x2

Solving
18 + -14x = cx + -8x + -1x2

Solving for variable 'x'.

Reorder the terms:
18 + -1cx + -14x + 8x + x2 = cx + -8x + -1x2 + -1cx + 8x + x2

Combine like terms: -14x + 8x = -6x
18 + -1cx + -6x + x2 = cx + -8x + -1x2 + -1cx + 8x + x2

Reorder the terms:
18 + -1cx + -6x + x2 = cx + -1cx + -8x + 8x + -1x2 + x2

Combine like terms: cx + -1cx = 0
18 + -1cx + -6x + x2 = 0 + -8x + 8x + -1x2 + x2
18 + -1cx + -6x + x2 = -8x + 8x + -1x2 + x2

Combine like terms: -8x + 8x = 0
18 + -1cx + -6x + x2 = 0 + -1x2 + x2
18 + -1cx + -6x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
18 + -1cx + -6x + x2 = 0

The solution to this equation could not be determined.

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