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

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


Simplifying
x + -1x(3x + -5) = x + -2(x2 + x) + -1x2 + -14

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

Combine like terms: x + 5x = 6x
6x + -3x2 = x + -2(x2 + x) + -1x2 + -14

Reorder the terms:
6x + -3x2 = x + -2(x + x2) + -1x2 + -14
6x + -3x2 = x + (x * -2 + x2 * -2) + -1x2 + -14
6x + -3x2 = x + (-2x + -2x2) + -1x2 + -14

Reorder the terms:
6x + -3x2 = -14 + x + -2x + -2x2 + -1x2

Combine like terms: x + -2x = -1x
6x + -3x2 = -14 + -1x + -2x2 + -1x2

Combine like terms: -2x2 + -1x2 = -3x2
6x + -3x2 = -14 + -1x + -3x2

Add '3x2' to each side of the equation.
6x + -3x2 + 3x2 = -14 + -1x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
6x + 0 = -14 + -1x + -3x2 + 3x2
6x = -14 + -1x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
6x = -14 + -1x + 0
6x = -14 + -1x

Solving
6x = -14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6x + x = -14 + -1x + x

Combine like terms: 6x + x = 7x
7x = -14 + -1x + x

Combine like terms: -1x + x = 0
7x = -14 + 0
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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