2[3(x-y)-3(6x-6y)]=

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Solution for 2[3(x-y)-3(6x-6y)]= equation: 


Simplifying
2[3(x + -1y) + -3(6x + -6y)] = 0
2[(x * 3 + -1y * 3) + -3(6x + -6y)] = 0
2[(3x + -3y) + -3(6x + -6y)] = 0
2[3x + -3y + (6x * -3 + -6y * -3)] = 0
2[3x + -3y + (-18x + 18y)] = 0

Reorder the terms:
2[3x + -18x + -3y + 18y] = 0

Combine like terms: 3x + -18x = -15x
2[-15x + -3y + 18y] = 0

Combine like terms: -3y + 18y = 15y
2[-15x + 15y] = 0
[-15x * 2 + 15y * 2] = 0
[-30x + 30y] = 0

Solving
-30x + 30y = 0

Solving for variable 'x'.

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

Add '-30y' to each side of the equation.
-30x + 30y + -30y = 0 + -30y

Combine like terms: 30y + -30y = 0
-30x + 0 = 0 + -30y
-30x = 0 + -30y
Remove the zero:
-30x = -30y

Divide each side by '-30'.
x = y

Simplifying
x = y

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