x(2x-6)=(2x+2)(x-5)

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Solution for x(2x-6)=(2x+2)(x-5) equation:


Simplifying
x(2x + -6) = (2x + 2)(x + -5)

Reorder the terms:
x(-6 + 2x) = (2x + 2)(x + -5)
(-6 * x + 2x * x) = (2x + 2)(x + -5)
(-6x + 2x2) = (2x + 2)(x + -5)

Reorder the terms:
-6x + 2x2 = (2 + 2x)(x + -5)

Reorder the terms:
-6x + 2x2 = (2 + 2x)(-5 + x)

Multiply (2 + 2x) * (-5 + x)
-6x + 2x2 = (2(-5 + x) + 2x * (-5 + x))
-6x + 2x2 = ((-5 * 2 + x * 2) + 2x * (-5 + x))
-6x + 2x2 = ((-10 + 2x) + 2x * (-5 + x))
-6x + 2x2 = (-10 + 2x + (-5 * 2x + x * 2x))
-6x + 2x2 = (-10 + 2x + (-10x + 2x2))

Combine like terms: 2x + -10x = -8x
-6x + 2x2 = (-10 + -8x + 2x2)

Add '-2x2' to each side of the equation.
-6x + 2x2 + -2x2 = -10 + -8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x + 0 = -10 + -8x + 2x2 + -2x2
-6x = -10 + -8x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x = -10 + -8x + 0
-6x = -10 + -8x

Solving
-6x = -10 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6x + 8x = -10 + -8x + 8x

Combine like terms: -6x + 8x = 2x
2x = -10 + -8x + 8x

Combine like terms: -8x + 8x = 0
2x = -10 + 0
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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