(x+3)*(2x+5)=(2x+9)*(x+11)

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Solution for (x+3)*(2x+5)=(2x+9)*(x+11) equation: 


Simplifying
(x + 3)(2x + 5) = (2x + 9)(x + 11)

Reorder the terms:
(3 + x)(2x + 5) = (2x + 9)(x + 11)

Reorder the terms:
(3 + x)(5 + 2x) = (2x + 9)(x + 11)

Multiply (3 + x) * (5 + 2x)
(3(5 + 2x) + x(5 + 2x)) = (2x + 9)(x + 11)
((5 * 3 + 2x * 3) + x(5 + 2x)) = (2x + 9)(x + 11)
((15 + 6x) + x(5 + 2x)) = (2x + 9)(x + 11)
(15 + 6x + (5 * x + 2x * x)) = (2x + 9)(x + 11)
(15 + 6x + (5x + 2x2)) = (2x + 9)(x + 11)

Combine like terms: 6x + 5x = 11x
(15 + 11x + 2x2) = (2x + 9)(x + 11)

Reorder the terms:
15 + 11x + 2x2 = (9 + 2x)(x + 11)

Reorder the terms:
15 + 11x + 2x2 = (9 + 2x)(11 + x)

Multiply (9 + 2x) * (11 + x)
15 + 11x + 2x2 = (9(11 + x) + 2x * (11 + x))
15 + 11x + 2x2 = ((11 * 9 + x * 9) + 2x * (11 + x))
15 + 11x + 2x2 = ((99 + 9x) + 2x * (11 + x))
15 + 11x + 2x2 = (99 + 9x + (11 * 2x + x * 2x))
15 + 11x + 2x2 = (99 + 9x + (22x + 2x2))

Combine like terms: 9x + 22x = 31x
15 + 11x + 2x2 = (99 + 31x + 2x2)

Add '-2x2' to each side of the equation.
15 + 11x + 2x2 + -2x2 = 99 + 31x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
15 + 11x + 0 = 99 + 31x + 2x2 + -2x2
15 + 11x = 99 + 31x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
15 + 11x = 99 + 31x + 0
15 + 11x = 99 + 31x

Solving
15 + 11x = 99 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
15 + 11x + -31x = 99 + 31x + -31x

Combine like terms: 11x + -31x = -20x
15 + -20x = 99 + 31x + -31x

Combine like terms: 31x + -31x = 0
15 + -20x = 99 + 0
15 + -20x = 99

Add '-15' to each side of the equation.
15 + -15 + -20x = 99 + -15

Combine like terms: 15 + -15 = 0
0 + -20x = 99 + -15
-20x = 99 + -15

Combine like terms: 99 + -15 = 84
-20x = 84

Divide each side by '-20'.
x = -4.2

Simplifying
x = -4.2

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