(-x+1)(-15+2x)+2x^2-1-4x=-4+14x

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Solution for (-x+1)(-15+2x)+2x^2-1-4x=-4+14x equation:


Simplifying
(-1x + 1)(-15 + 2x) + 2x2 + -1 + -4x = -4 + 14x

Reorder the terms:
(1 + -1x)(-15 + 2x) + 2x2 + -1 + -4x = -4 + 14x

Multiply (1 + -1x) * (-15 + 2x)
(1(-15 + 2x) + -1x * (-15 + 2x)) + 2x2 + -1 + -4x = -4 + 14x
((-15 * 1 + 2x * 1) + -1x * (-15 + 2x)) + 2x2 + -1 + -4x = -4 + 14x
((-15 + 2x) + -1x * (-15 + 2x)) + 2x2 + -1 + -4x = -4 + 14x
(-15 + 2x + (-15 * -1x + 2x * -1x)) + 2x2 + -1 + -4x = -4 + 14x
(-15 + 2x + (15x + -2x2)) + 2x2 + -1 + -4x = -4 + 14x

Combine like terms: 2x + 15x = 17x
(-15 + 17x + -2x2) + 2x2 + -1 + -4x = -4 + 14x

Reorder the terms:
-15 + -1 + 17x + -4x + -2x2 + 2x2 = -4 + 14x

Combine like terms: -15 + -1 = -16
-16 + 17x + -4x + -2x2 + 2x2 = -4 + 14x

Combine like terms: 17x + -4x = 13x
-16 + 13x + -2x2 + 2x2 = -4 + 14x

Combine like terms: -2x2 + 2x2 = 0
-16 + 13x + 0 = -4 + 14x
-16 + 13x = -4 + 14x

Solving
-16 + 13x = -4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-16 + 13x + -14x = -4 + 14x + -14x

Combine like terms: 13x + -14x = -1x
-16 + -1x = -4 + 14x + -14x

Combine like terms: 14x + -14x = 0
-16 + -1x = -4 + 0
-16 + -1x = -4

Add '16' to each side of the equation.
-16 + 16 + -1x = -4 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -4 + 16
-1x = -4 + 16

Combine like terms: -4 + 16 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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