(9x+8)(8+x)=(x+5)(9x+8)

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Solution for (9x+8)(8+x)=(x+5)(9x+8) equation: 


Simplifying
(9x + 8)(8 + x) = (x + 5)(9x + 8)

Reorder the terms:
(8 + 9x)(8 + x) = (x + 5)(9x + 8)

Multiply (8 + 9x) * (8 + x)
(8(8 + x) + 9x * (8 + x)) = (x + 5)(9x + 8)
((8 * 8 + x * 8) + 9x * (8 + x)) = (x + 5)(9x + 8)
((64 + 8x) + 9x * (8 + x)) = (x + 5)(9x + 8)
(64 + 8x + (8 * 9x + x * 9x)) = (x + 5)(9x + 8)
(64 + 8x + (72x + 9x2)) = (x + 5)(9x + 8)

Combine like terms: 8x + 72x = 80x
(64 + 80x + 9x2) = (x + 5)(9x + 8)

Reorder the terms:
64 + 80x + 9x2 = (5 + x)(9x + 8)

Reorder the terms:
64 + 80x + 9x2 = (5 + x)(8 + 9x)

Multiply (5 + x) * (8 + 9x)
64 + 80x + 9x2 = (5(8 + 9x) + x(8 + 9x))
64 + 80x + 9x2 = ((8 * 5 + 9x * 5) + x(8 + 9x))
64 + 80x + 9x2 = ((40 + 45x) + x(8 + 9x))
64 + 80x + 9x2 = (40 + 45x + (8 * x + 9x * x))
64 + 80x + 9x2 = (40 + 45x + (8x + 9x2))

Combine like terms: 45x + 8x = 53x
64 + 80x + 9x2 = (40 + 53x + 9x2)

Add '-9x2' to each side of the equation.
64 + 80x + 9x2 + -9x2 = 40 + 53x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
64 + 80x + 0 = 40 + 53x + 9x2 + -9x2
64 + 80x = 40 + 53x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
64 + 80x = 40 + 53x + 0
64 + 80x = 40 + 53x

Solving
64 + 80x = 40 + 53x

Solving for variable 'x'.

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

Add '-53x' to each side of the equation.
64 + 80x + -53x = 40 + 53x + -53x

Combine like terms: 80x + -53x = 27x
64 + 27x = 40 + 53x + -53x

Combine like terms: 53x + -53x = 0
64 + 27x = 40 + 0
64 + 27x = 40

Add '-64' to each side of the equation.
64 + -64 + 27x = 40 + -64

Combine like terms: 64 + -64 = 0
0 + 27x = 40 + -64
27x = 40 + -64

Combine like terms: 40 + -64 = -24
27x = -24

Divide each side by '27'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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