2(x+3)(x-5)=(2x-1)(x-9)

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Solution for 2(x+3)(x-5)=(2x-1)(x-9) equation:


Simplifying
2(x + 3)(x + -5) = (2x + -1)(x + -9)

Reorder the terms:
2(3 + x)(x + -5) = (2x + -1)(x + -9)

Reorder the terms:
2(3 + x)(-5 + x) = (2x + -1)(x + -9)

Multiply (3 + x) * (-5 + x)
2(3(-5 + x) + x(-5 + x)) = (2x + -1)(x + -9)
2((-5 * 3 + x * 3) + x(-5 + x)) = (2x + -1)(x + -9)
2((-15 + 3x) + x(-5 + x)) = (2x + -1)(x + -9)
2(-15 + 3x + (-5 * x + x * x)) = (2x + -1)(x + -9)
2(-15 + 3x + (-5x + x2)) = (2x + -1)(x + -9)

Combine like terms: 3x + -5x = -2x
2(-15 + -2x + x2) = (2x + -1)(x + -9)
(-15 * 2 + -2x * 2 + x2 * 2) = (2x + -1)(x + -9)
(-30 + -4x + 2x2) = (2x + -1)(x + -9)

Reorder the terms:
-30 + -4x + 2x2 = (-1 + 2x)(x + -9)

Reorder the terms:
-30 + -4x + 2x2 = (-1 + 2x)(-9 + x)

Multiply (-1 + 2x) * (-9 + x)
-30 + -4x + 2x2 = (-1(-9 + x) + 2x * (-9 + x))
-30 + -4x + 2x2 = ((-9 * -1 + x * -1) + 2x * (-9 + x))
-30 + -4x + 2x2 = ((9 + -1x) + 2x * (-9 + x))
-30 + -4x + 2x2 = (9 + -1x + (-9 * 2x + x * 2x))
-30 + -4x + 2x2 = (9 + -1x + (-18x + 2x2))

Combine like terms: -1x + -18x = -19x
-30 + -4x + 2x2 = (9 + -19x + 2x2)

Add '-2x2' to each side of the equation.
-30 + -4x + 2x2 + -2x2 = 9 + -19x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-30 + -4x + 0 = 9 + -19x + 2x2 + -2x2
-30 + -4x = 9 + -19x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-30 + -4x = 9 + -19x + 0
-30 + -4x = 9 + -19x

Solving
-30 + -4x = 9 + -19x

Solving for variable 'x'.

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

Add '19x' to each side of the equation.
-30 + -4x + 19x = 9 + -19x + 19x

Combine like terms: -4x + 19x = 15x
-30 + 15x = 9 + -19x + 19x

Combine like terms: -19x + 19x = 0
-30 + 15x = 9 + 0
-30 + 15x = 9

Add '30' to each side of the equation.
-30 + 30 + 15x = 9 + 30

Combine like terms: -30 + 30 = 0
0 + 15x = 9 + 30
15x = 9 + 30

Combine like terms: 9 + 30 = 39
15x = 39

Divide each side by '15'.
x = 2.6

Simplifying
x = 2.6

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