(7x-1)(2x-5)=(2x-1)(7x-1)

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Solution for (7x-1)(2x-5)=(2x-1)(7x-1) equation: 


Simplifying
(7x + -1)(2x + -5) = (2x + -1)(7x + -1)

Reorder the terms:
(-1 + 7x)(2x + -5) = (2x + -1)(7x + -1)

Reorder the terms:
(-1 + 7x)(-5 + 2x) = (2x + -1)(7x + -1)

Multiply (-1 + 7x) * (-5 + 2x)
(-1(-5 + 2x) + 7x * (-5 + 2x)) = (2x + -1)(7x + -1)
((-5 * -1 + 2x * -1) + 7x * (-5 + 2x)) = (2x + -1)(7x + -1)
((5 + -2x) + 7x * (-5 + 2x)) = (2x + -1)(7x + -1)
(5 + -2x + (-5 * 7x + 2x * 7x)) = (2x + -1)(7x + -1)
(5 + -2x + (-35x + 14x2)) = (2x + -1)(7x + -1)

Combine like terms: -2x + -35x = -37x
(5 + -37x + 14x2) = (2x + -1)(7x + -1)

Reorder the terms:
5 + -37x + 14x2 = (-1 + 2x)(7x + -1)

Reorder the terms:
5 + -37x + 14x2 = (-1 + 2x)(-1 + 7x)

Multiply (-1 + 2x) * (-1 + 7x)
5 + -37x + 14x2 = (-1(-1 + 7x) + 2x * (-1 + 7x))
5 + -37x + 14x2 = ((-1 * -1 + 7x * -1) + 2x * (-1 + 7x))
5 + -37x + 14x2 = ((1 + -7x) + 2x * (-1 + 7x))
5 + -37x + 14x2 = (1 + -7x + (-1 * 2x + 7x * 2x))
5 + -37x + 14x2 = (1 + -7x + (-2x + 14x2))

Combine like terms: -7x + -2x = -9x
5 + -37x + 14x2 = (1 + -9x + 14x2)

Add '-14x2' to each side of the equation.
5 + -37x + 14x2 + -14x2 = 1 + -9x + 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
5 + -37x + 0 = 1 + -9x + 14x2 + -14x2
5 + -37x = 1 + -9x + 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
5 + -37x = 1 + -9x + 0
5 + -37x = 1 + -9x

Solving
5 + -37x = 1 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
5 + -37x + 9x = 1 + -9x + 9x

Combine like terms: -37x + 9x = -28x
5 + -28x = 1 + -9x + 9x

Combine like terms: -9x + 9x = 0
5 + -28x = 1 + 0
5 + -28x = 1

Add '-5' to each side of the equation.
5 + -5 + -28x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -28x = 1 + -5
-28x = 1 + -5

Combine like terms: 1 + -5 = -4
-28x = -4

Divide each side by '-28'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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