6x(x-1)=5x-3x(4-2x)

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Solution for 6x(x-1)=5x-3x(4-2x) equation: 


Simplifying
6x(x + -1) = 5x + -3x(4 + -2x)

Reorder the terms:
6x(-1 + x) = 5x + -3x(4 + -2x)
(-1 * 6x + x * 6x) = 5x + -3x(4 + -2x)
(-6x + 6x2) = 5x + -3x(4 + -2x)
-6x + 6x2 = 5x + (4 * -3x + -2x * -3x)
-6x + 6x2 = 5x + (-12x + 6x2)

Combine like terms: 5x + -12x = -7x
-6x + 6x2 = -7x + 6x2

Add '-6x2' to each side of the equation.
-6x + 6x2 + -6x2 = -7x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6x + 0 = -7x + 6x2 + -6x2
-6x = -7x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6x = -7x + 0
-6x = -7x

Solving
-6x = -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6x + 7x = -7x + 7x

Combine like terms: -6x + 7x = 1x
1x = -7x + 7x

Combine like terms: -7x + 7x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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