(6x-4)(x+2)=2(11x-19)+2(3x*x-13)

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Solution for (6x-4)(x+2)=2(11x-19)+2(3x*x-13) equation: 


Simplifying
(6x + -4)(x + 2) = 2(11x + -19) + 2(3x * x + -13)

Reorder the terms:
(-4 + 6x)(x + 2) = 2(11x + -19) + 2(3x * x + -13)

Reorder the terms:
(-4 + 6x)(2 + x) = 2(11x + -19) + 2(3x * x + -13)

Multiply (-4 + 6x) * (2 + x)
(-4(2 + x) + 6x * (2 + x)) = 2(11x + -19) + 2(3x * x + -13)
((2 * -4 + x * -4) + 6x * (2 + x)) = 2(11x + -19) + 2(3x * x + -13)
((-8 + -4x) + 6x * (2 + x)) = 2(11x + -19) + 2(3x * x + -13)
(-8 + -4x + (2 * 6x + x * 6x)) = 2(11x + -19) + 2(3x * x + -13)
(-8 + -4x + (12x + 6x2)) = 2(11x + -19) + 2(3x * x + -13)

Combine like terms: -4x + 12x = 8x
(-8 + 8x + 6x2) = 2(11x + -19) + 2(3x * x + -13)

Reorder the terms:
-8 + 8x + 6x2 = 2(-19 + 11x) + 2(3x * x + -13)
-8 + 8x + 6x2 = (-19 * 2 + 11x * 2) + 2(3x * x + -13)
-8 + 8x + 6x2 = (-38 + 22x) + 2(3x * x + -13)

Multiply x * x
-8 + 8x + 6x2 = -38 + 22x + 2(3x2 + -13)

Reorder the terms:
-8 + 8x + 6x2 = -38 + 22x + 2(-13 + 3x2)
-8 + 8x + 6x2 = -38 + 22x + (-13 * 2 + 3x2 * 2)
-8 + 8x + 6x2 = -38 + 22x + (-26 + 6x2)

Reorder the terms:
-8 + 8x + 6x2 = -38 + -26 + 22x + 6x2

Combine like terms: -38 + -26 = -64
-8 + 8x + 6x2 = -64 + 22x + 6x2

Add '-6x2' to each side of the equation.
-8 + 8x + 6x2 + -6x2 = -64 + 22x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8 + 8x + 0 = -64 + 22x + 6x2 + -6x2
-8 + 8x = -64 + 22x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8 + 8x = -64 + 22x + 0
-8 + 8x = -64 + 22x

Solving
-8 + 8x = -64 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-8 + 8x + -22x = -64 + 22x + -22x

Combine like terms: 8x + -22x = -14x
-8 + -14x = -64 + 22x + -22x

Combine like terms: 22x + -22x = 0
-8 + -14x = -64 + 0
-8 + -14x = -64

Add '8' to each side of the equation.
-8 + 8 + -14x = -64 + 8

Combine like terms: -8 + 8 = 0
0 + -14x = -64 + 8
-14x = -64 + 8

Combine like terms: -64 + 8 = -56
-14x = -56

Divide each side by '-14'.
x = 4

Simplifying
x = 4

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