(3x+2)(3x+5)=(3x-6)(3x+8)-2

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Solution for (3x+2)(3x+5)=(3x-6)(3x+8)-2 equation: 


Simplifying
(3x + 2)(3x + 5) = (3x + -6)(3x + 8) + -2

Reorder the terms:
(2 + 3x)(3x + 5) = (3x + -6)(3x + 8) + -2

Reorder the terms:
(2 + 3x)(5 + 3x) = (3x + -6)(3x + 8) + -2

Multiply (2 + 3x) * (5 + 3x)
(2(5 + 3x) + 3x * (5 + 3x)) = (3x + -6)(3x + 8) + -2
((5 * 2 + 3x * 2) + 3x * (5 + 3x)) = (3x + -6)(3x + 8) + -2
((10 + 6x) + 3x * (5 + 3x)) = (3x + -6)(3x + 8) + -2
(10 + 6x + (5 * 3x + 3x * 3x)) = (3x + -6)(3x + 8) + -2
(10 + 6x + (15x + 9x2)) = (3x + -6)(3x + 8) + -2

Combine like terms: 6x + 15x = 21x
(10 + 21x + 9x2) = (3x + -6)(3x + 8) + -2

Reorder the terms:
10 + 21x + 9x2 = (-6 + 3x)(3x + 8) + -2

Reorder the terms:
10 + 21x + 9x2 = (-6 + 3x)(8 + 3x) + -2

Multiply (-6 + 3x) * (8 + 3x)
10 + 21x + 9x2 = (-6(8 + 3x) + 3x * (8 + 3x)) + -2
10 + 21x + 9x2 = ((8 * -6 + 3x * -6) + 3x * (8 + 3x)) + -2
10 + 21x + 9x2 = ((-48 + -18x) + 3x * (8 + 3x)) + -2
10 + 21x + 9x2 = (-48 + -18x + (8 * 3x + 3x * 3x)) + -2
10 + 21x + 9x2 = (-48 + -18x + (24x + 9x2)) + -2

Combine like terms: -18x + 24x = 6x
10 + 21x + 9x2 = (-48 + 6x + 9x2) + -2

Reorder the terms:
10 + 21x + 9x2 = -48 + -2 + 6x + 9x2

Combine like terms: -48 + -2 = -50
10 + 21x + 9x2 = -50 + 6x + 9x2

Add '-9x2' to each side of the equation.
10 + 21x + 9x2 + -9x2 = -50 + 6x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
10 + 21x + 0 = -50 + 6x + 9x2 + -9x2
10 + 21x = -50 + 6x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
10 + 21x = -50 + 6x + 0
10 + 21x = -50 + 6x

Solving
10 + 21x = -50 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 21x + -6x = -50 + 6x + -6x

Combine like terms: 21x + -6x = 15x
10 + 15x = -50 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 15x = -50 + 0
10 + 15x = -50

Add '-10' to each side of the equation.
10 + -10 + 15x = -50 + -10

Combine like terms: 10 + -10 = 0
0 + 15x = -50 + -10
15x = -50 + -10

Combine like terms: -50 + -10 = -60
15x = -60

Divide each side by '15'.
x = -4

Simplifying
x = -4

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