x(3x-5)+x(3x-3)=(6x+8)(x-3)

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


Simplifying
x(3x + -5) + x(3x + -3) = (6x + 8)(x + -3)

Reorder the terms:
x(-5 + 3x) + x(3x + -3) = (6x + 8)(x + -3)
(-5 * x + 3x * x) + x(3x + -3) = (6x + 8)(x + -3)
(-5x + 3x2) + x(3x + -3) = (6x + 8)(x + -3)

Reorder the terms:
-5x + 3x2 + x(-3 + 3x) = (6x + 8)(x + -3)
-5x + 3x2 + (-3 * x + 3x * x) = (6x + 8)(x + -3)
-5x + 3x2 + (-3x + 3x2) = (6x + 8)(x + -3)

Reorder the terms:
-5x + -3x + 3x2 + 3x2 = (6x + 8)(x + -3)

Combine like terms: -5x + -3x = -8x
-8x + 3x2 + 3x2 = (6x + 8)(x + -3)

Combine like terms: 3x2 + 3x2 = 6x2
-8x + 6x2 = (6x + 8)(x + -3)

Reorder the terms:
-8x + 6x2 = (8 + 6x)(x + -3)

Reorder the terms:
-8x + 6x2 = (8 + 6x)(-3 + x)

Multiply (8 + 6x) * (-3 + x)
-8x + 6x2 = (8(-3 + x) + 6x * (-3 + x))
-8x + 6x2 = ((-3 * 8 + x * 8) + 6x * (-3 + x))
-8x + 6x2 = ((-24 + 8x) + 6x * (-3 + x))
-8x + 6x2 = (-24 + 8x + (-3 * 6x + x * 6x))
-8x + 6x2 = (-24 + 8x + (-18x + 6x2))

Combine like terms: 8x + -18x = -10x
-8x + 6x2 = (-24 + -10x + 6x2)

Add '-6x2' to each side of the equation.
-8x + 6x2 + -6x2 = -24 + -10x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8x + 0 = -24 + -10x + 6x2 + -6x2
-8x = -24 + -10x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8x = -24 + -10x + 0
-8x = -24 + -10x

Solving
-8x = -24 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-8x + 10x = -24 + -10x + 10x

Combine like terms: -8x + 10x = 2x
2x = -24 + -10x + 10x

Combine like terms: -10x + 10x = 0
2x = -24 + 0
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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