4x+13+2x^2=-(-x+1)(-13+2x)+20x-2

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Solution for 4x+13+2x^2=-(-x+1)(-13+2x)+20x-2 equation: 


Simplifying
4x + 13 + 2x2 = -1(-1x + 1)(-13 + 2x) + 20x + -2

Reorder the terms:
13 + 4x + 2x2 = -1(-1x + 1)(-13 + 2x) + 20x + -2

Reorder the terms:
13 + 4x + 2x2 = -1(1 + -1x)(-13 + 2x) + 20x + -2

Multiply (1 + -1x) * (-13 + 2x)
13 + 4x + 2x2 = -1(1(-13 + 2x) + -1x * (-13 + 2x)) + 20x + -2
13 + 4x + 2x2 = -1((-13 * 1 + 2x * 1) + -1x * (-13 + 2x)) + 20x + -2
13 + 4x + 2x2 = -1((-13 + 2x) + -1x * (-13 + 2x)) + 20x + -2
13 + 4x + 2x2 = -1(-13 + 2x + (-13 * -1x + 2x * -1x)) + 20x + -2
13 + 4x + 2x2 = -1(-13 + 2x + (13x + -2x2)) + 20x + -2

Combine like terms: 2x + 13x = 15x
13 + 4x + 2x2 = -1(-13 + 15x + -2x2) + 20x + -2
13 + 4x + 2x2 = (-13 * -1 + 15x * -1 + -2x2 * -1) + 20x + -2
13 + 4x + 2x2 = (13 + -15x + 2x2) + 20x + -2

Reorder the terms:
13 + 4x + 2x2 = 13 + -2 + -15x + 20x + 2x2

Combine like terms: 13 + -2 = 11
13 + 4x + 2x2 = 11 + -15x + 20x + 2x2

Combine like terms: -15x + 20x = 5x
13 + 4x + 2x2 = 11 + 5x + 2x2

Add '-2x2' to each side of the equation.
13 + 4x + 2x2 + -2x2 = 11 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
13 + 4x + 0 = 11 + 5x + 2x2 + -2x2
13 + 4x = 11 + 5x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
13 + 4x = 11 + 5x + 0
13 + 4x = 11 + 5x

Solving
13 + 4x = 11 + 5x

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.
13 + 4x + -5x = 11 + 5x + -5x

Combine like terms: 4x + -5x = -1x
13 + -1x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -1x = 11 + 0
13 + -1x = 11

Add '-13' to each side of the equation.
13 + -13 + -1x = 11 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 11 + -13
-1x = 11 + -13

Combine like terms: 11 + -13 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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