(x+11)(x-3)=(x+7)(x+9)

Solution for (x+11)(x-3)=(x+7)(x+9) equation:

Simplifying
(x + 11)(x + -3) = (x + 7)(x + 9)

Reorder the terms:
(11 + x)(x + -3) = (x + 7)(x + 9)

Reorder the terms:
(11 + x)(-3 + x) = (x + 7)(x + 9)

Multiply (11 + x) * (-3 + x)
(11(-3 + x) + x(-3 + x)) = (x + 7)(x + 9)
((-3 * 11 + x * 11) + x(-3 + x)) = (x + 7)(x + 9)
((-33 + 11x) + x(-3 + x)) = (x + 7)(x + 9)
(-33 + 11x + (-3 * x + x * x)) = (x + 7)(x + 9)
(-33 + 11x + (-3x + x2)) = (x + 7)(x + 9)

Combine like terms: 11x + -3x = 8x
(-33 + 8x + x2) = (x + 7)(x + 9)

Reorder the terms:
-33 + 8x + x2 = (7 + x)(x + 9)

Reorder the terms:
-33 + 8x + x2 = (7 + x)(9 + x)

Multiply (7 + x) * (9 + x)
-33 + 8x + x2 = (7(9 + x) + x(9 + x))
-33 + 8x + x2 = ((9 * 7 + x * 7) + x(9 + x))
-33 + 8x + x2 = ((63 + 7x) + x(9 + x))
-33 + 8x + x2 = (63 + 7x + (9 * x + x * x))
-33 + 8x + x2 = (63 + 7x + (9x + x2))

Combine like terms: 7x + 9x = 16x
-33 + 8x + x2 = (63 + 16x + x2)

Add '-1x2' to each side of the equation.
-33 + 8x + x2 + -1x2 = 63 + 16x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-33 + 8x + 0 = 63 + 16x + x2 + -1x2
-33 + 8x = 63 + 16x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-33 + 8x = 63 + 16x + 0
-33 + 8x = 63 + 16x

Solving
-33 + 8x = 63 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-33 + 8x + -16x = 63 + 16x + -16x

Combine like terms: 8x + -16x = -8x
-33 + -8x = 63 + 16x + -16x

Combine like terms: 16x + -16x = 0
-33 + -8x = 63 + 0
-33 + -8x = 63

Add '33' to each side of the equation.
-33 + 33 + -8x = 63 + 33

Combine like terms: -33 + 33 = 0
0 + -8x = 63 + 33
-8x = 63 + 33

Combine like terms: 63 + 33 = 96
-8x = 96

Divide each side by '-8'.
x = -12

Simplifying
x = -12