5x-2(3x-4)(3-x)=6x^2-x-2(x-4)

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Solution for 5x-2(3x-4)(3-x)=6x^2-x-2(x-4) equation: 


Simplifying
5x + -2(3x + -4)(3 + -1x) = 6x2 + -1x + -2(x + -4)

Reorder the terms:
5x + -2(-4 + 3x)(3 + -1x) = 6x2 + -1x + -2(x + -4)

Multiply (-4 + 3x) * (3 + -1x)
5x + -2(-4(3 + -1x) + 3x * (3 + -1x)) = 6x2 + -1x + -2(x + -4)
5x + -2((3 * -4 + -1x * -4) + 3x * (3 + -1x)) = 6x2 + -1x + -2(x + -4)
5x + -2((-12 + 4x) + 3x * (3 + -1x)) = 6x2 + -1x + -2(x + -4)
5x + -2(-12 + 4x + (3 * 3x + -1x * 3x)) = 6x2 + -1x + -2(x + -4)
5x + -2(-12 + 4x + (9x + -3x2)) = 6x2 + -1x + -2(x + -4)

Combine like terms: 4x + 9x = 13x
5x + -2(-12 + 13x + -3x2) = 6x2 + -1x + -2(x + -4)
5x + (-12 * -2 + 13x * -2 + -3x2 * -2) = 6x2 + -1x + -2(x + -4)
5x + (24 + -26x + 6x2) = 6x2 + -1x + -2(x + -4)

Reorder the terms:
24 + 5x + -26x + 6x2 = 6x2 + -1x + -2(x + -4)

Combine like terms: 5x + -26x = -21x
24 + -21x + 6x2 = 6x2 + -1x + -2(x + -4)

Reorder the terms:
24 + -21x + 6x2 = 6x2 + -1x + -2(-4 + x)
24 + -21x + 6x2 = 6x2 + -1x + (-4 * -2 + x * -2)
24 + -21x + 6x2 = 6x2 + -1x + (8 + -2x)

Reorder the terms:
24 + -21x + 6x2 = 8 + -1x + -2x + 6x2

Combine like terms: -1x + -2x = -3x
24 + -21x + 6x2 = 8 + -3x + 6x2

Add '-6x2' to each side of the equation.
24 + -21x + 6x2 + -6x2 = 8 + -3x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
24 + -21x + 0 = 8 + -3x + 6x2 + -6x2
24 + -21x = 8 + -3x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
24 + -21x = 8 + -3x + 0
24 + -21x = 8 + -3x

Solving
24 + -21x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
24 + -21x + 3x = 8 + -3x + 3x

Combine like terms: -21x + 3x = -18x
24 + -18x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
24 + -18x = 8 + 0
24 + -18x = 8

Add '-24' to each side of the equation.
24 + -24 + -18x = 8 + -24

Combine like terms: 24 + -24 = 0
0 + -18x = 8 + -24
-18x = 8 + -24

Combine like terms: 8 + -24 = -16
-18x = -16

Divide each side by '-18'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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