(3x-4)(x-20)=3x(x-9)-3

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Solution for (3x-4)(x-20)=3x(x-9)-3 equation: 


Simplifying
(3x + -4)(x + -20) = 3x(x + -9) + -3

Reorder the terms:
(-4 + 3x)(x + -20) = 3x(x + -9) + -3

Reorder the terms:
(-4 + 3x)(-20 + x) = 3x(x + -9) + -3

Multiply (-4 + 3x) * (-20 + x)
(-4(-20 + x) + 3x * (-20 + x)) = 3x(x + -9) + -3
((-20 * -4 + x * -4) + 3x * (-20 + x)) = 3x(x + -9) + -3
((80 + -4x) + 3x * (-20 + x)) = 3x(x + -9) + -3
(80 + -4x + (-20 * 3x + x * 3x)) = 3x(x + -9) + -3
(80 + -4x + (-60x + 3x2)) = 3x(x + -9) + -3

Combine like terms: -4x + -60x = -64x
(80 + -64x + 3x2) = 3x(x + -9) + -3

Reorder the terms:
80 + -64x + 3x2 = 3x(-9 + x) + -3
80 + -64x + 3x2 = (-9 * 3x + x * 3x) + -3
80 + -64x + 3x2 = (-27x + 3x2) + -3

Reorder the terms:
80 + -64x + 3x2 = -3 + -27x + 3x2

Add '-3x2' to each side of the equation.
80 + -64x + 3x2 + -3x2 = -3 + -27x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
80 + -64x + 0 = -3 + -27x + 3x2 + -3x2
80 + -64x = -3 + -27x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
80 + -64x = -3 + -27x + 0
80 + -64x = -3 + -27x

Solving
80 + -64x = -3 + -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.
80 + -64x + 27x = -3 + -27x + 27x

Combine like terms: -64x + 27x = -37x
80 + -37x = -3 + -27x + 27x

Combine like terms: -27x + 27x = 0
80 + -37x = -3 + 0
80 + -37x = -3

Add '-80' to each side of the equation.
80 + -80 + -37x = -3 + -80

Combine like terms: 80 + -80 = 0
0 + -37x = -3 + -80
-37x = -3 + -80

Combine like terms: -3 + -80 = -83
-37x = -83

Divide each side by '-37'.
x = 2.243243243

Simplifying
x = 2.243243243

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