(3-X)(9-X)=(9-X)(11-X)

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Solution for (3-X)(9-X)=(9-X)(11-X) equation:


Simplifying
(3 + -1X)(9 + -1X) = (9 + -1X)(11 + -1X)

Multiply (3 + -1X) * (9 + -1X)
(3(9 + -1X) + -1X * (9 + -1X)) = (9 + -1X)(11 + -1X)
((9 * 3 + -1X * 3) + -1X * (9 + -1X)) = (9 + -1X)(11 + -1X)
((27 + -3X) + -1X * (9 + -1X)) = (9 + -1X)(11 + -1X)
(27 + -3X + (9 * -1X + -1X * -1X)) = (9 + -1X)(11 + -1X)
(27 + -3X + (-9X + 1X2)) = (9 + -1X)(11 + -1X)

Combine like terms: -3X + -9X = -12X
(27 + -12X + 1X2) = (9 + -1X)(11 + -1X)

Multiply (9 + -1X) * (11 + -1X)
27 + -12X + 1X2 = (9(11 + -1X) + -1X * (11 + -1X))
27 + -12X + 1X2 = ((11 * 9 + -1X * 9) + -1X * (11 + -1X))
27 + -12X + 1X2 = ((99 + -9X) + -1X * (11 + -1X))
27 + -12X + 1X2 = (99 + -9X + (11 * -1X + -1X * -1X))
27 + -12X + 1X2 = (99 + -9X + (-11X + 1X2))

Combine like terms: -9X + -11X = -20X
27 + -12X + 1X2 = (99 + -20X + 1X2)

Add '-1X2' to each side of the equation.
27 + -12X + 1X2 + -1X2 = 99 + -20X + 1X2 + -1X2

Combine like terms: 1X2 + -1X2 = 0
27 + -12X + 0 = 99 + -20X + 1X2 + -1X2
27 + -12X = 99 + -20X + 1X2 + -1X2

Combine like terms: 1X2 + -1X2 = 0
27 + -12X = 99 + -20X + 0
27 + -12X = 99 + -20X

Solving
27 + -12X = 99 + -20X

Solving for variable 'X'.

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

Add '20X' to each side of the equation.
27 + -12X + 20X = 99 + -20X + 20X

Combine like terms: -12X + 20X = 8X
27 + 8X = 99 + -20X + 20X

Combine like terms: -20X + 20X = 0
27 + 8X = 99 + 0
27 + 8X = 99

Add '-27' to each side of the equation.
27 + -27 + 8X = 99 + -27

Combine like terms: 27 + -27 = 0
0 + 8X = 99 + -27
8X = 99 + -27

Combine like terms: 99 + -27 = 72
8X = 72

Divide each side by '8'.
X = 9

Simplifying
X = 9

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