(2x+3)(3x-1)=(x+8)(6x+3)

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Solution for (2x+3)(3x-1)=(x+8)(6x+3) equation: 


Simplifying
(2x + 3)(3x + -1) = (x + 8)(6x + 3)

Reorder the terms:
(3 + 2x)(3x + -1) = (x + 8)(6x + 3)

Reorder the terms:
(3 + 2x)(-1 + 3x) = (x + 8)(6x + 3)

Multiply (3 + 2x) * (-1 + 3x)
(3(-1 + 3x) + 2x * (-1 + 3x)) = (x + 8)(6x + 3)
((-1 * 3 + 3x * 3) + 2x * (-1 + 3x)) = (x + 8)(6x + 3)
((-3 + 9x) + 2x * (-1 + 3x)) = (x + 8)(6x + 3)
(-3 + 9x + (-1 * 2x + 3x * 2x)) = (x + 8)(6x + 3)
(-3 + 9x + (-2x + 6x2)) = (x + 8)(6x + 3)

Combine like terms: 9x + -2x = 7x
(-3 + 7x + 6x2) = (x + 8)(6x + 3)

Reorder the terms:
-3 + 7x + 6x2 = (8 + x)(6x + 3)

Reorder the terms:
-3 + 7x + 6x2 = (8 + x)(3 + 6x)

Multiply (8 + x) * (3 + 6x)
-3 + 7x + 6x2 = (8(3 + 6x) + x(3 + 6x))
-3 + 7x + 6x2 = ((3 * 8 + 6x * 8) + x(3 + 6x))
-3 + 7x + 6x2 = ((24 + 48x) + x(3 + 6x))
-3 + 7x + 6x2 = (24 + 48x + (3 * x + 6x * x))
-3 + 7x + 6x2 = (24 + 48x + (3x + 6x2))

Combine like terms: 48x + 3x = 51x
-3 + 7x + 6x2 = (24 + 51x + 6x2)

Add '-6x2' to each side of the equation.
-3 + 7x + 6x2 + -6x2 = 24 + 51x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-3 + 7x + 0 = 24 + 51x + 6x2 + -6x2
-3 + 7x = 24 + 51x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-3 + 7x = 24 + 51x + 0
-3 + 7x = 24 + 51x

Solving
-3 + 7x = 24 + 51x

Solving for variable 'x'.

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

Add '-51x' to each side of the equation.
-3 + 7x + -51x = 24 + 51x + -51x

Combine like terms: 7x + -51x = -44x
-3 + -44x = 24 + 51x + -51x

Combine like terms: 51x + -51x = 0
-3 + -44x = 24 + 0
-3 + -44x = 24

Add '3' to each side of the equation.
-3 + 3 + -44x = 24 + 3

Combine like terms: -3 + 3 = 0
0 + -44x = 24 + 3
-44x = 24 + 3

Combine like terms: 24 + 3 = 27
-44x = 27

Divide each side by '-44'.
x = -0.6136363636

Simplifying
x = -0.6136363636

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