(5+x-7)(x-7)=(x-5)(x-5)

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Solution for (5+x-7)(x-7)=(x-5)(x-5) equation: 


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

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

Combine like terms: 5 + -7 = -2
(-2 + x)(x + -7) = (x + -5)(x + -5)

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

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

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

Reorder the terms:
14 + -9x + x2 = (-5 + x)(x + -5)

Reorder the terms:
14 + -9x + x2 = (-5 + x)(-5 + x)

Multiply (-5 + x) * (-5 + x)
14 + -9x + x2 = (-5(-5 + x) + x(-5 + x))
14 + -9x + x2 = ((-5 * -5 + x * -5) + x(-5 + x))
14 + -9x + x2 = ((25 + -5x) + x(-5 + x))
14 + -9x + x2 = (25 + -5x + (-5 * x + x * x))
14 + -9x + x2 = (25 + -5x + (-5x + x2))

Combine like terms: -5x + -5x = -10x
14 + -9x + x2 = (25 + -10x + x2)

Add '-1x2' to each side of the equation.
14 + -9x + x2 + -1x2 = 25 + -10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + -9x + 0 = 25 + -10x + x2 + -1x2
14 + -9x = 25 + -10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + -9x = 25 + -10x + 0
14 + -9x = 25 + -10x

Solving
14 + -9x = 25 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
14 + -9x + 10x = 25 + -10x + 10x

Combine like terms: -9x + 10x = 1x
14 + 1x = 25 + -10x + 10x

Combine like terms: -10x + 10x = 0
14 + 1x = 25 + 0
14 + 1x = 25

Add '-14' to each side of the equation.
14 + -14 + 1x = 25 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 25 + -14
1x = 25 + -14

Combine like terms: 25 + -14 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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