X-x(3x-5)=x-2(x(x)+x)-x(x)-14

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Solution for X-x(3x-5)=x-2(x(x)+x)-x(x)-14 equation: 


Simplifying
X + -1x(3x + -5) = x + -2(x(x) + x) + -1x(x) + -14

Reorder the terms:
X + -1x(-5 + 3x) = x + -2(x(x) + x) + -1x(x) + -14
X + (-5 * -1x + 3x * -1x) = x + -2(x(x) + x) + -1x(x) + -14
X + (5x + -3x2) = x + -2(x(x) + x) + -1x(x) + -14

Multiply x * x
X + 5x + -3x2 = x + -2(x2 + x) + -1x(x) + -14

Reorder the terms:
X + 5x + -3x2 = x + -2(x + x2) + -1x(x) + -14
X + 5x + -3x2 = x + (x * -2 + x2 * -2) + -1x(x) + -14
X + 5x + -3x2 = x + (-2x + -2x2) + -1x(x) + -14

Multiply x * x
X + 5x + -3x2 = x + -2x + -2x2 + -1x2 + -14

Reorder the terms:
X + 5x + -3x2 = -14 + x + -2x + -2x2 + -1x2

Combine like terms: x + -2x = -1x
X + 5x + -3x2 = -14 + -1x + -2x2 + -1x2

Combine like terms: -2x2 + -1x2 = -3x2
X + 5x + -3x2 = -14 + -1x + -3x2

Add '3x2' to each side of the equation.
X + 5x + -3x2 + 3x2 = -14 + -1x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
X + 5x + 0 = -14 + -1x + -3x2 + 3x2
X + 5x = -14 + -1x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
X + 5x = -14 + -1x + 0
X + 5x = -14 + -1x

Solving
X + 5x = -14 + -1x

Solving for variable 'X'.

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

Add '-5x' to each side of the equation.
X + 5x + -5x = -14 + -1x + -5x

Combine like terms: 5x + -5x = 0
X + 0 = -14 + -1x + -5x
X = -14 + -1x + -5x

Combine like terms: -1x + -5x = -6x
X = -14 + -6x

Simplifying
X = -14 + -6x

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