(3x-1)(3x-3)=(9x+3)(x-5)

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Solution for (3x-1)(3x-3)=(9x+3)(x-5) equation:


Simplifying
(3x + -1)(3x + -3) = (9x + 3)(x + -5)

Reorder the terms:
(-1 + 3x)(3x + -3) = (9x + 3)(x + -5)

Reorder the terms:
(-1 + 3x)(-3 + 3x) = (9x + 3)(x + -5)

Multiply (-1 + 3x) * (-3 + 3x)
(-1(-3 + 3x) + 3x * (-3 + 3x)) = (9x + 3)(x + -5)
((-3 * -1 + 3x * -1) + 3x * (-3 + 3x)) = (9x + 3)(x + -5)
((3 + -3x) + 3x * (-3 + 3x)) = (9x + 3)(x + -5)
(3 + -3x + (-3 * 3x + 3x * 3x)) = (9x + 3)(x + -5)
(3 + -3x + (-9x + 9x2)) = (9x + 3)(x + -5)

Combine like terms: -3x + -9x = -12x
(3 + -12x + 9x2) = (9x + 3)(x + -5)

Reorder the terms:
3 + -12x + 9x2 = (3 + 9x)(x + -5)

Reorder the terms:
3 + -12x + 9x2 = (3 + 9x)(-5 + x)

Multiply (3 + 9x) * (-5 + x)
3 + -12x + 9x2 = (3(-5 + x) + 9x * (-5 + x))
3 + -12x + 9x2 = ((-5 * 3 + x * 3) + 9x * (-5 + x))
3 + -12x + 9x2 = ((-15 + 3x) + 9x * (-5 + x))
3 + -12x + 9x2 = (-15 + 3x + (-5 * 9x + x * 9x))
3 + -12x + 9x2 = (-15 + 3x + (-45x + 9x2))

Combine like terms: 3x + -45x = -42x
3 + -12x + 9x2 = (-15 + -42x + 9x2)

Add '-9x2' to each side of the equation.
3 + -12x + 9x2 + -9x2 = -15 + -42x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
3 + -12x + 0 = -15 + -42x + 9x2 + -9x2
3 + -12x = -15 + -42x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
3 + -12x = -15 + -42x + 0
3 + -12x = -15 + -42x

Solving
3 + -12x = -15 + -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
3 + -12x + 42x = -15 + -42x + 42x

Combine like terms: -12x + 42x = 30x
3 + 30x = -15 + -42x + 42x

Combine like terms: -42x + 42x = 0
3 + 30x = -15 + 0
3 + 30x = -15

Add '-3' to each side of the equation.
3 + -3 + 30x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + 30x = -15 + -3
30x = -15 + -3

Combine like terms: -15 + -3 = -18
30x = -18

Divide each side by '30'.
x = -0.6

Simplifying
x = -0.6

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