(7x-26)(x-1)=(7x-14)(x-3)

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Solution for (7x-26)(x-1)=(7x-14)(x-3) equation: 


Simplifying
(7x + -26)(x + -1) = (7x + -14)(x + -3)

Reorder the terms:
(-26 + 7x)(x + -1) = (7x + -14)(x + -3)

Reorder the terms:
(-26 + 7x)(-1 + x) = (7x + -14)(x + -3)

Multiply (-26 + 7x) * (-1 + x)
(-26(-1 + x) + 7x * (-1 + x)) = (7x + -14)(x + -3)
((-1 * -26 + x * -26) + 7x * (-1 + x)) = (7x + -14)(x + -3)
((26 + -26x) + 7x * (-1 + x)) = (7x + -14)(x + -3)
(26 + -26x + (-1 * 7x + x * 7x)) = (7x + -14)(x + -3)
(26 + -26x + (-7x + 7x2)) = (7x + -14)(x + -3)

Combine like terms: -26x + -7x = -33x
(26 + -33x + 7x2) = (7x + -14)(x + -3)

Reorder the terms:
26 + -33x + 7x2 = (-14 + 7x)(x + -3)

Reorder the terms:
26 + -33x + 7x2 = (-14 + 7x)(-3 + x)

Multiply (-14 + 7x) * (-3 + x)
26 + -33x + 7x2 = (-14(-3 + x) + 7x * (-3 + x))
26 + -33x + 7x2 = ((-3 * -14 + x * -14) + 7x * (-3 + x))
26 + -33x + 7x2 = ((42 + -14x) + 7x * (-3 + x))
26 + -33x + 7x2 = (42 + -14x + (-3 * 7x + x * 7x))
26 + -33x + 7x2 = (42 + -14x + (-21x + 7x2))

Combine like terms: -14x + -21x = -35x
26 + -33x + 7x2 = (42 + -35x + 7x2)

Add '-7x2' to each side of the equation.
26 + -33x + 7x2 + -7x2 = 42 + -35x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
26 + -33x + 0 = 42 + -35x + 7x2 + -7x2
26 + -33x = 42 + -35x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
26 + -33x = 42 + -35x + 0
26 + -33x = 42 + -35x

Solving
26 + -33x = 42 + -35x

Solving for variable 'x'.

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

Add '35x' to each side of the equation.
26 + -33x + 35x = 42 + -35x + 35x

Combine like terms: -33x + 35x = 2x
26 + 2x = 42 + -35x + 35x

Combine like terms: -35x + 35x = 0
26 + 2x = 42 + 0
26 + 2x = 42

Add '-26' to each side of the equation.
26 + -26 + 2x = 42 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = 42 + -26
2x = 42 + -26

Combine like terms: 42 + -26 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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