(9x+12)(2x-20)-64x=(3x-45)(6x-50)-90

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Solution for (9x+12)(2x-20)-64x=(3x-45)(6x-50)-90 equation: 


Simplifying
(9x + 12)(2x + -20) + -64x = (3x + -45)(6x + -50) + -90

Reorder the terms:
(12 + 9x)(2x + -20) + -64x = (3x + -45)(6x + -50) + -90

Reorder the terms:
(12 + 9x)(-20 + 2x) + -64x = (3x + -45)(6x + -50) + -90

Multiply (12 + 9x) * (-20 + 2x)
(12(-20 + 2x) + 9x * (-20 + 2x)) + -64x = (3x + -45)(6x + -50) + -90
((-20 * 12 + 2x * 12) + 9x * (-20 + 2x)) + -64x = (3x + -45)(6x + -50) + -90
((-240 + 24x) + 9x * (-20 + 2x)) + -64x = (3x + -45)(6x + -50) + -90
(-240 + 24x + (-20 * 9x + 2x * 9x)) + -64x = (3x + -45)(6x + -50) + -90
(-240 + 24x + (-180x + 18x2)) + -64x = (3x + -45)(6x + -50) + -90

Combine like terms: 24x + -180x = -156x
(-240 + -156x + 18x2) + -64x = (3x + -45)(6x + -50) + -90

Reorder the terms:
-240 + -156x + -64x + 18x2 = (3x + -45)(6x + -50) + -90

Combine like terms: -156x + -64x = -220x
-240 + -220x + 18x2 = (3x + -45)(6x + -50) + -90

Reorder the terms:
-240 + -220x + 18x2 = (-45 + 3x)(6x + -50) + -90

Reorder the terms:
-240 + -220x + 18x2 = (-45 + 3x)(-50 + 6x) + -90

Multiply (-45 + 3x) * (-50 + 6x)
-240 + -220x + 18x2 = (-45(-50 + 6x) + 3x * (-50 + 6x)) + -90
-240 + -220x + 18x2 = ((-50 * -45 + 6x * -45) + 3x * (-50 + 6x)) + -90
-240 + -220x + 18x2 = ((2250 + -270x) + 3x * (-50 + 6x)) + -90
-240 + -220x + 18x2 = (2250 + -270x + (-50 * 3x + 6x * 3x)) + -90
-240 + -220x + 18x2 = (2250 + -270x + (-150x + 18x2)) + -90

Combine like terms: -270x + -150x = -420x
-240 + -220x + 18x2 = (2250 + -420x + 18x2) + -90

Reorder the terms:
-240 + -220x + 18x2 = 2250 + -90 + -420x + 18x2

Combine like terms: 2250 + -90 = 2160
-240 + -220x + 18x2 = 2160 + -420x + 18x2

Add '-18x2' to each side of the equation.
-240 + -220x + 18x2 + -18x2 = 2160 + -420x + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-240 + -220x + 0 = 2160 + -420x + 18x2 + -18x2
-240 + -220x = 2160 + -420x + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
-240 + -220x = 2160 + -420x + 0
-240 + -220x = 2160 + -420x

Solving
-240 + -220x = 2160 + -420x

Solving for variable 'x'.

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

Add '420x' to each side of the equation.
-240 + -220x + 420x = 2160 + -420x + 420x

Combine like terms: -220x + 420x = 200x
-240 + 200x = 2160 + -420x + 420x

Combine like terms: -420x + 420x = 0
-240 + 200x = 2160 + 0
-240 + 200x = 2160

Add '240' to each side of the equation.
-240 + 240 + 200x = 2160 + 240

Combine like terms: -240 + 240 = 0
0 + 200x = 2160 + 240
200x = 2160 + 240

Combine like terms: 2160 + 240 = 2400
200x = 2400

Divide each side by '200'.
x = 12

Simplifying
x = 12

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