(-6-x)(x-6)=3x(x+9)-(2x+3)(2x-3)

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Solution for (-6-x)(x-6)=3x(x+9)-(2x+3)(2x-3) equation: 


Simplifying
(-6 + -1x)(x + -6) = 3x(x + 9) + -1(2x + 3)(2x + -3)

Reorder the terms:
(-6 + -1x)(-6 + x) = 3x(x + 9) + -1(2x + 3)(2x + -3)

Multiply (-6 + -1x) * (-6 + x)
(-6(-6 + x) + -1x * (-6 + x)) = 3x(x + 9) + -1(2x + 3)(2x + -3)
((-6 * -6 + x * -6) + -1x * (-6 + x)) = 3x(x + 9) + -1(2x + 3)(2x + -3)
((36 + -6x) + -1x * (-6 + x)) = 3x(x + 9) + -1(2x + 3)(2x + -3)
(36 + -6x + (-6 * -1x + x * -1x)) = 3x(x + 9) + -1(2x + 3)(2x + -3)
(36 + -6x + (6x + -1x2)) = 3x(x + 9) + -1(2x + 3)(2x + -3)

Combine like terms: -6x + 6x = 0
(36 + 0 + -1x2) = 3x(x + 9) + -1(2x + 3)(2x + -3)
(36 + -1x2) = 3x(x + 9) + -1(2x + 3)(2x + -3)

Reorder the terms:
36 + -1x2 = 3x(9 + x) + -1(2x + 3)(2x + -3)
36 + -1x2 = (9 * 3x + x * 3x) + -1(2x + 3)(2x + -3)
36 + -1x2 = (27x + 3x2) + -1(2x + 3)(2x + -3)

Reorder the terms:
36 + -1x2 = 27x + 3x2 + -1(3 + 2x)(2x + -3)

Reorder the terms:
36 + -1x2 = 27x + 3x2 + -1(3 + 2x)(-3 + 2x)

Multiply (3 + 2x) * (-3 + 2x)
36 + -1x2 = 27x + 3x2 + -1(3(-3 + 2x) + 2x * (-3 + 2x))
36 + -1x2 = 27x + 3x2 + -1((-3 * 3 + 2x * 3) + 2x * (-3 + 2x))
36 + -1x2 = 27x + 3x2 + -1((-9 + 6x) + 2x * (-3 + 2x))
36 + -1x2 = 27x + 3x2 + -1(-9 + 6x + (-3 * 2x + 2x * 2x))
36 + -1x2 = 27x + 3x2 + -1(-9 + 6x + (-6x + 4x2))

Combine like terms: 6x + -6x = 0
36 + -1x2 = 27x + 3x2 + -1(-9 + 0 + 4x2)
36 + -1x2 = 27x + 3x2 + -1(-9 + 4x2)
36 + -1x2 = 27x + 3x2 + (-9 * -1 + 4x2 * -1)
36 + -1x2 = 27x + 3x2 + (9 + -4x2)

Reorder the terms:
36 + -1x2 = 9 + 27x + 3x2 + -4x2

Combine like terms: 3x2 + -4x2 = -1x2
36 + -1x2 = 9 + 27x + -1x2

Add 'x2' to each side of the equation.
36 + -1x2 + x2 = 9 + 27x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
36 + 0 = 9 + 27x + -1x2 + x2
36 = 9 + 27x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
36 = 9 + 27x + 0
36 = 9 + 27x

Solving
36 = 9 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
36 + -27x = 9 + 27x + -27x

Combine like terms: 27x + -27x = 0
36 + -27x = 9 + 0
36 + -27x = 9

Add '-36' to each side of the equation.
36 + -36 + -27x = 9 + -36

Combine like terms: 36 + -36 = 0
0 + -27x = 9 + -36
-27x = 9 + -36

Combine like terms: 9 + -36 = -27
-27x = -27

Divide each side by '-27'.
x = 1

Simplifying
x = 1

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