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

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


Simplifying
-3x(2 + -2x) = 2(5 + -6x) + -1(4 + -6x)
(2 * -3x + -2x * -3x) = 2(5 + -6x) + -1(4 + -6x)
(-6x + 6x2) = 2(5 + -6x) + -1(4 + -6x)
-6x + 6x2 = (5 * 2 + -6x * 2) + -1(4 + -6x)
-6x + 6x2 = (10 + -12x) + -1(4 + -6x)
-6x + 6x2 = 10 + -12x + (4 * -1 + -6x * -1)
-6x + 6x2 = 10 + -12x + (-4 + 6x)

Reorder the terms:
-6x + 6x2 = 10 + -4 + -12x + 6x

Combine like terms: 10 + -4 = 6
-6x + 6x2 = 6 + -12x + 6x

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

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

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

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

Solving
6x2 = 6

Solving for variable 'x'.

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

Divide each side by '6'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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