2x(x+3)=(2x-1)(x-4)

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Solution for 2x(x+3)=(2x-1)(x-4) equation:


Simplifying
2x(x + 3) = (2x + -1)(x + -4)

Reorder the terms:
2x(3 + x) = (2x + -1)(x + -4)
(3 * 2x + x * 2x) = (2x + -1)(x + -4)
(6x + 2x2) = (2x + -1)(x + -4)

Reorder the terms:
6x + 2x2 = (-1 + 2x)(x + -4)

Reorder the terms:
6x + 2x2 = (-1 + 2x)(-4 + x)

Multiply (-1 + 2x) * (-4 + x)
6x + 2x2 = (-1(-4 + x) + 2x * (-4 + x))
6x + 2x2 = ((-4 * -1 + x * -1) + 2x * (-4 + x))
6x + 2x2 = ((4 + -1x) + 2x * (-4 + x))
6x + 2x2 = (4 + -1x + (-4 * 2x + x * 2x))
6x + 2x2 = (4 + -1x + (-8x + 2x2))

Combine like terms: -1x + -8x = -9x
6x + 2x2 = (4 + -9x + 2x2)

Add '-2x2' to each side of the equation.
6x + 2x2 + -2x2 = 4 + -9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6x + 0 = 4 + -9x + 2x2 + -2x2
6x = 4 + -9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6x = 4 + -9x + 0
6x = 4 + -9x

Solving
6x = 4 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
6x + 9x = 4 + -9x + 9x

Combine like terms: 6x + 9x = 15x
15x = 4 + -9x + 9x

Combine like terms: -9x + 9x = 0
15x = 4 + 0
15x = 4

Divide each side by '15'.
x = 0.2666666667

Simplifying
x = 0.2666666667

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