-x(1-6x)=2x(3x-1)

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Solution for -x(1-6x)=2x(3x-1) equation:


Simplifying
-1x(1 + -6x) = 2x(3x + -1)
(1 * -1x + -6x * -1x) = 2x(3x + -1)
(-1x + 6x2) = 2x(3x + -1)

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

Add '-6x2' to each side of the equation.
-1x + 6x2 + -6x2 = -2x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-1x + 0 = -2x + 6x2 + -6x2
-1x = -2x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-1x = -2x + 0
-1x = -2x

Solving
-1x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-1x + 2x = -2x + 2x

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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