14-3x(-3x+14)=-13x+6x(4x-8)-3x(5x-5)

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Solution for 14-3x(-3x+14)=-13x+6x(4x-8)-3x(5x-5) equation: 


Simplifying
14 + -3x(-3x + 14) = -13x + 6x(4x + -8) + -3x(5x + -5)

Reorder the terms:
14 + -3x(14 + -3x) = -13x + 6x(4x + -8) + -3x(5x + -5)
14 + (14 * -3x + -3x * -3x) = -13x + 6x(4x + -8) + -3x(5x + -5)
14 + (-42x + 9x2) = -13x + 6x(4x + -8) + -3x(5x + -5)

Reorder the terms:
14 + -42x + 9x2 = -13x + 6x(-8 + 4x) + -3x(5x + -5)
14 + -42x + 9x2 = -13x + (-8 * 6x + 4x * 6x) + -3x(5x + -5)
14 + -42x + 9x2 = -13x + (-48x + 24x2) + -3x(5x + -5)

Reorder the terms:
14 + -42x + 9x2 = -13x + -48x + 24x2 + -3x(-5 + 5x)
14 + -42x + 9x2 = -13x + -48x + 24x2 + (-5 * -3x + 5x * -3x)
14 + -42x + 9x2 = -13x + -48x + 24x2 + (15x + -15x2)

Reorder the terms:
14 + -42x + 9x2 = -13x + -48x + 15x + 24x2 + -15x2

Combine like terms: -13x + -48x = -61x
14 + -42x + 9x2 = -61x + 15x + 24x2 + -15x2

Combine like terms: -61x + 15x = -46x
14 + -42x + 9x2 = -46x + 24x2 + -15x2

Combine like terms: 24x2 + -15x2 = 9x2
14 + -42x + 9x2 = -46x + 9x2

Add '-9x2' to each side of the equation.
14 + -42x + 9x2 + -9x2 = -46x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
14 + -42x + 0 = -46x + 9x2 + -9x2
14 + -42x = -46x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
14 + -42x = -46x + 0
14 + -42x = -46x

Solving
14 + -42x = -46x

Solving for variable 'x'.

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

Add '46x' to each side of the equation.
14 + -42x + 46x = -46x + 46x

Combine like terms: -42x + 46x = 4x
14 + 4x = -46x + 46x

Combine like terms: -46x + 46x = 0
14 + 4x = 0

Add '-14' to each side of the equation.
14 + -14 + 4x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 0 + -14
4x = 0 + -14

Combine like terms: 0 + -14 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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