x(6x-5)=(6x+2)(x-1)

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Solution for x(6x-5)=(6x+2)(x-1) equation:


Simplifying
x(6x + -5) = (6x + 2)(x + -1)

Reorder the terms:
x(-5 + 6x) = (6x + 2)(x + -1)
(-5 * x + 6x * x) = (6x + 2)(x + -1)
(-5x + 6x2) = (6x + 2)(x + -1)

Reorder the terms:
-5x + 6x2 = (2 + 6x)(x + -1)

Reorder the terms:
-5x + 6x2 = (2 + 6x)(-1 + x)

Multiply (2 + 6x) * (-1 + x)
-5x + 6x2 = (2(-1 + x) + 6x * (-1 + x))
-5x + 6x2 = ((-1 * 2 + x * 2) + 6x * (-1 + x))
-5x + 6x2 = ((-2 + 2x) + 6x * (-1 + x))
-5x + 6x2 = (-2 + 2x + (-1 * 6x + x * 6x))
-5x + 6x2 = (-2 + 2x + (-6x + 6x2))

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

Add '-6x2' to each side of the equation.
-5x + 6x2 + -6x2 = -2 + -4x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-5x + 0 = -2 + -4x + 6x2 + -6x2
-5x = -2 + -4x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-5x = -2 + -4x + 0
-5x = -2 + -4x

Solving
-5x = -2 + -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.
-5x + 4x = -2 + -4x + 4x

Combine like terms: -5x + 4x = -1x
-1x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1x = -2 + 0
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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