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

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


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

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

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

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

Multiply (6 + 5x) * (-2 + x)
-2x + 5x2 = (6(-2 + x) + 5x * (-2 + x))
-2x + 5x2 = ((-2 * 6 + x * 6) + 5x * (-2 + x))
-2x + 5x2 = ((-12 + 6x) + 5x * (-2 + x))
-2x + 5x2 = (-12 + 6x + (-2 * 5x + x * 5x))
-2x + 5x2 = (-12 + 6x + (-10x + 5x2))

Combine like terms: 6x + -10x = -4x
-2x + 5x2 = (-12 + -4x + 5x2)

Add '-5x2' to each side of the equation.
-2x + 5x2 + -5x2 = -12 + -4x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-2x + 0 = -12 + -4x + 5x2 + -5x2
-2x = -12 + -4x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-2x = -12 + -4x + 0
-2x = -12 + -4x

Solving
-2x = -12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-2x + 4x = -12 + -4x + 4x

Combine like terms: -2x + 4x = 2x
2x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
2x = -12 + 0
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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