2(x+4)(x+7)=(2x+1)(x-9)

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Solution for 2(x+4)(x+7)=(2x+1)(x-9) equation: 


Simplifying
2(x + 4)(x + 7) = (2x + 1)(x + -9)

Reorder the terms:
2(4 + x)(x + 7) = (2x + 1)(x + -9)

Reorder the terms:
2(4 + x)(7 + x) = (2x + 1)(x + -9)

Multiply (4 + x) * (7 + x)
2(4(7 + x) + x(7 + x)) = (2x + 1)(x + -9)
2((7 * 4 + x * 4) + x(7 + x)) = (2x + 1)(x + -9)
2((28 + 4x) + x(7 + x)) = (2x + 1)(x + -9)
2(28 + 4x + (7 * x + x * x)) = (2x + 1)(x + -9)
2(28 + 4x + (7x + x2)) = (2x + 1)(x + -9)

Combine like terms: 4x + 7x = 11x
2(28 + 11x + x2) = (2x + 1)(x + -9)
(28 * 2 + 11x * 2 + x2 * 2) = (2x + 1)(x + -9)
(56 + 22x + 2x2) = (2x + 1)(x + -9)

Reorder the terms:
56 + 22x + 2x2 = (1 + 2x)(x + -9)

Reorder the terms:
56 + 22x + 2x2 = (1 + 2x)(-9 + x)

Multiply (1 + 2x) * (-9 + x)
56 + 22x + 2x2 = (1(-9 + x) + 2x * (-9 + x))
56 + 22x + 2x2 = ((-9 * 1 + x * 1) + 2x * (-9 + x))
56 + 22x + 2x2 = ((-9 + 1x) + 2x * (-9 + x))
56 + 22x + 2x2 = (-9 + 1x + (-9 * 2x + x * 2x))
56 + 22x + 2x2 = (-9 + 1x + (-18x + 2x2))

Combine like terms: 1x + -18x = -17x
56 + 22x + 2x2 = (-9 + -17x + 2x2)

Add '-2x2' to each side of the equation.
56 + 22x + 2x2 + -2x2 = -9 + -17x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
56 + 22x + 0 = -9 + -17x + 2x2 + -2x2
56 + 22x = -9 + -17x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
56 + 22x = -9 + -17x + 0
56 + 22x = -9 + -17x

Solving
56 + 22x = -9 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
56 + 22x + 17x = -9 + -17x + 17x

Combine like terms: 22x + 17x = 39x
56 + 39x = -9 + -17x + 17x

Combine like terms: -17x + 17x = 0
56 + 39x = -9 + 0
56 + 39x = -9

Add '-56' to each side of the equation.
56 + -56 + 39x = -9 + -56

Combine like terms: 56 + -56 = 0
0 + 39x = -9 + -56
39x = -9 + -56

Combine like terms: -9 + -56 = -65
39x = -65

Divide each side by '39'.
x = -1.666666667

Simplifying
x = -1.666666667

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