(3x-4)(x-2)=3x(x-9)-3

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Solution for (3x-4)(x-2)=3x(x-9)-3 equation: 


Simplifying
(3x + -4)(x + -2) = 3x(x + -9) + -3

Reorder the terms:
(-4 + 3x)(x + -2) = 3x(x + -9) + -3

Reorder the terms:
(-4 + 3x)(-2 + x) = 3x(x + -9) + -3

Multiply (-4 + 3x) * (-2 + x)
(-4(-2 + x) + 3x * (-2 + x)) = 3x(x + -9) + -3
((-2 * -4 + x * -4) + 3x * (-2 + x)) = 3x(x + -9) + -3
((8 + -4x) + 3x * (-2 + x)) = 3x(x + -9) + -3
(8 + -4x + (-2 * 3x + x * 3x)) = 3x(x + -9) + -3
(8 + -4x + (-6x + 3x2)) = 3x(x + -9) + -3

Combine like terms: -4x + -6x = -10x
(8 + -10x + 3x2) = 3x(x + -9) + -3

Reorder the terms:
8 + -10x + 3x2 = 3x(-9 + x) + -3
8 + -10x + 3x2 = (-9 * 3x + x * 3x) + -3
8 + -10x + 3x2 = (-27x + 3x2) + -3

Reorder the terms:
8 + -10x + 3x2 = -3 + -27x + 3x2

Add '-3x2' to each side of the equation.
8 + -10x + 3x2 + -3x2 = -3 + -27x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
8 + -10x + 0 = -3 + -27x + 3x2 + -3x2
8 + -10x = -3 + -27x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
8 + -10x = -3 + -27x + 0
8 + -10x = -3 + -27x

Solving
8 + -10x = -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.
8 + -10x + 27x = -3 + -27x + 27x

Combine like terms: -10x + 27x = 17x
8 + 17x = -3 + -27x + 27x

Combine like terms: -27x + 27x = 0
8 + 17x = -3 + 0
8 + 17x = -3

Add '-8' to each side of the equation.
8 + -8 + 17x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + 17x = -3 + -8
17x = -3 + -8

Combine like terms: -3 + -8 = -11
17x = -11

Divide each side by '17'.
x = -0.6470588235

Simplifying
x = -0.6470588235

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