(5x-1)*(2-x)=(x-3)*(2-5x)

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Solution for (5x-1)*(2-x)=(x-3)*(2-5x) equation: 


Simplifying
(5x + -1)(2 + -1x) = (x + -3)(2 + -5x)

Reorder the terms:
(-1 + 5x)(2 + -1x) = (x + -3)(2 + -5x)

Multiply (-1 + 5x) * (2 + -1x)
(-1(2 + -1x) + 5x * (2 + -1x)) = (x + -3)(2 + -5x)
((2 * -1 + -1x * -1) + 5x * (2 + -1x)) = (x + -3)(2 + -5x)
((-2 + 1x) + 5x * (2 + -1x)) = (x + -3)(2 + -5x)
(-2 + 1x + (2 * 5x + -1x * 5x)) = (x + -3)(2 + -5x)
(-2 + 1x + (10x + -5x2)) = (x + -3)(2 + -5x)

Combine like terms: 1x + 10x = 11x
(-2 + 11x + -5x2) = (x + -3)(2 + -5x)

Reorder the terms:
-2 + 11x + -5x2 = (-3 + x)(2 + -5x)

Multiply (-3 + x) * (2 + -5x)
-2 + 11x + -5x2 = (-3(2 + -5x) + x(2 + -5x))
-2 + 11x + -5x2 = ((2 * -3 + -5x * -3) + x(2 + -5x))
-2 + 11x + -5x2 = ((-6 + 15x) + x(2 + -5x))
-2 + 11x + -5x2 = (-6 + 15x + (2 * x + -5x * x))
-2 + 11x + -5x2 = (-6 + 15x + (2x + -5x2))

Combine like terms: 15x + 2x = 17x
-2 + 11x + -5x2 = (-6 + 17x + -5x2)

Add '5x2' to each side of the equation.
-2 + 11x + -5x2 + 5x2 = -6 + 17x + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-2 + 11x + 0 = -6 + 17x + -5x2 + 5x2
-2 + 11x = -6 + 17x + -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-2 + 11x = -6 + 17x + 0
-2 + 11x = -6 + 17x

Solving
-2 + 11x = -6 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-2 + 11x + -17x = -6 + 17x + -17x

Combine like terms: 11x + -17x = -6x
-2 + -6x = -6 + 17x + -17x

Combine like terms: 17x + -17x = 0
-2 + -6x = -6 + 0
-2 + -6x = -6

Add '2' to each side of the equation.
-2 + 2 + -6x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -6x = -6 + 2
-6x = -6 + 2

Combine like terms: -6 + 2 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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