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

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


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

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

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

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

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

Reorder the terms:
-35 + -2x + x2 = (7 + x)(x + -5)

Reorder the terms:
-35 + -2x + x2 = (7 + x)(-5 + x)

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

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

Add '35' to each side of the equation.
-35 + -2x + 35 + x2 = -35 + 2x + 35 + x2

Reorder the terms:
-35 + 35 + -2x + x2 = -35 + 2x + 35 + x2

Combine like terms: -35 + 35 = 0
0 + -2x + x2 = -35 + 2x + 35 + x2
-2x + x2 = -35 + 2x + 35 + x2

Reorder the terms:
-2x + x2 = -35 + 35 + 2x + x2

Combine like terms: -35 + 35 = 0
-2x + x2 = 0 + 2x + x2
-2x + x2 = 2x + x2

Add '-1x2' to each side of the equation.
-2x + x2 + -1x2 = 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x + 0 = 2x + x2 + -1x2
-2x = 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x = 2x + 0
-2x = 2x

Solving
-2x = 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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